Relevant bibliographies by topics / (finite deformation theory)

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic '(finite deformation theory)'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 September 2023

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Journal articles on the topic "(finite deformation theory)"

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WATANABE, Osamu. "Finite deformation theory of elastoplasicity." Transactions of the Japan Society of Mechanical Engineers Series A 54, no. 501 (1988): 992–1001. http://dx.doi.org/10.1299/kikaia.54.992.

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Meggyes, �. "Multiple decomposition in finite deformation theory." Acta Mechanica 146, no. 3-4 (September 2001): 169–82. http://dx.doi.org/10.1007/bf01246731.

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Frishter, Lyudmila, and Al-Gburi Noora Saad Subhi. "Uniform Domain Equilibrium Equation with Finite Deformations." E3S Web of Conferences 410 (2023): 03007. http://dx.doi.org/10.1051/e3sconf/202341003007.

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In corner areas of structures, high stress values and gradients occur, and lead to stress concentrations. Infinite stress and deformations are determined by a solution of the linear elasticity theory problem in the area with a wedge-shape boundary notch. Infinite solutions of the elasticity problem occur under impact of forced deformations, when a surge of the deformation value reaches beyond the area boundary. Relative values of stress concentrations for corner area zones make no more sense. At finite displacements, high deformation and stress values occur in the corner zones of the area. For a linear statement of the elasticity theory problem, at minor deflections, not only first-order, but also second-order derivatives of the displacements function are significant. To account for finite deformations of such corner zones of the area, correct formulations of elasticity problems are required. Study objective: influence determination of the infinitesimal order of the deformation on the appearance of equilibrium equations of an area with induced (temperature) deformations. This allows for the analysis of the influence of linear, shear deformations, and of the swing on the solution of the elasticity problem with induced deformations.
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Hu, Yi, Yong Zhao, and Haopeng Liang. "Refined Beam Theory for Geometrically Nonlinear Pre-Twisted Structures." Aerospace 9, no. 7 (July 6, 2022): 360. http://dx.doi.org/10.3390/aerospace9070360.

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This paper proposes a novel fully nonlinear refined beam element for pre-twisted structures undergoing large deformation and finite untwisting. The present model is constructed in the twisted basis to account for the effects of geometrical nonlinearity and initial twist. Cross-sectional deformation is allowed by introducing Lagrange polynomials in the framework of a Carrera unified formulation. The principle of virtual work is applied to obtain the Green–Lagrange strain tensor and second Piola–Kirchhoff stress tensor. In the nonlinear governing formulation, expressions are given for secant and tangent matrices with linear, nonlinear, and geometrically stiffening contributions. The developed beam model could detect the coupled axial, torsional, and flexure deformations, as well as the local deformations around the point of application of the force. The maximum difference between the present deformation results and those of shell/solid finite element simulations is 6%. Compared to traditional beam theories and finite element models, the proposed method significantly reduces the computational complexity and cost by implementing constant beam elements in the twisted basis.
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Saxena, Prashant, Mokarram Hossain, and Paul Steinmann. "A theory of finite deformation magneto-viscoelasticity." International Journal of Solids and Structures 50, no. 24 (November 2013): 3886–97. http://dx.doi.org/10.1016/j.ijsolstr.2013.07.024.

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Frishter, Ludmila. "INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM." International Journal for Computational Civil and Structural Engineering 19, no. 1 (March 29, 2023): 204–11. http://dx.doi.org/10.22337/2587-9618-2023-19-1-204-211.

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The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded.
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Liu, Zong Min, Ji Ze Mao, and Hai Yan Song. "Path-Independent Ĵ-Integral Based on Finite Deformation Theory." Key Engineering Materials 577-578 (September 2013): 189–92. http://dx.doi.org/10.4028/www.scientific.net/kem.577-578.189.

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For a finite deformation body, there are large strains and displacements on the crack tip. So it is necessary to study-integral based on finite deformation theory. Base forces theory is a new theory for describing finite deformation. In this paper, -integral based on base forces theory are presented. This work provides a new theoretical foundation for studying dynamic crack propagation.
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Lin, Wen Shan. "Plastic Deformation Theory Application in Finite Element Analysis." Advanced Materials Research 594-597 (November 2012): 2723–26. http://dx.doi.org/10.4028/www.scientific.net/amr.594-597.2723.

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In the present study, the constitutive law of the deformation theory of plasticity has been derived. And that develop the two-dimensional and three-dimensional finite element program. The results of finite element and analytic of plasticity are compared to verify the derived the constitutive law of the deformation theory and the FEM program. At plastic stage, the constitutive laws of the deformation theory can be expressed as the linear elastic constitutive laws. But, it must be modified by iteration of the secant modulus and the effective Poisson’s ratio. Make it easier to develop finite element program. Finite element solution and analytic solution of plasticity theory comparison show the answers are the same. It shows the derivation of the constitutive law of the deformation theory of plasticity and finite element analysis program is the accuracy.
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CHRISTMANN, JULIA, RALF MÜLLER, and ANGELIKA HUMBERT. "On nonlinear strain theory for a viscoelastic material model and its implications for calving of ice shelves." Journal of Glaciology 65, no. 250 (March 12, 2019): 212–24. http://dx.doi.org/10.1017/jog.2018.107.

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ABSTRACTIn the current ice-sheet models calving of ice shelves is based on phenomenological approaches. To obtain physics-based calving criteria, a viscoelastic Maxwell model is required accounting for short-term elastic and long-term viscous deformation. On timescales of months to years between calving events, as well as on long timescales with several subsequent iceberg break-offs, deformations are no longer small and linearized strain measures cannot be used. We present a finite deformation framework of viscoelasticity and extend this model by a nonlinear Glen-type viscosity. A finite element implementation is used to compute stress and strain states in the vicinity of the ice-shelf calving front. Stress and strain maxima of small (linearized strain measure) and finite strain formulations differ by ~ 5% after 1 and by ~ 30% after 10 years, respectively. A finite deformation formulation reaches a critical stress or strain faster, thus calving rates will be higher, despite the fact that the exact critical values are not known. Nonlinear viscosity of Glen-type leads to higher stress values. The Maxwell material model formulation for finite deformations presented here can also be applied to other glaciological problems, for example, tidal forcing at grounding lines or closure of englacial and subglacial melt channels.
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ISHIDA, Ryohei. "Finite Element Analysis of Circular Plate Based on Finite Deformation Theory." Proceedings of Ibaraki District Conference 2002 (2002): 91–92. http://dx.doi.org/10.1299/jsmeibaraki.2002.91.

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Dissertations / Theses on the topic "(finite deformation theory)"

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Sadeghi, Hamidreza. "Dynamic Analysis of River Embankments during Earthquakes based on Finite Deformation Theory Considering Liquefaction." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188554.

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Talbott, Shannon Nicole. "Universal deformation rings of modules for algebras of dihedral type of polynomial growth." Diss., University of Iowa, 2012. https://ir.uiowa.edu/etd/3390.

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Deformation theory studies the behavior of mathematical objects, such as representations or modules, under small perturbations. This theory is useful in both pure and applied mathematics and has been used in the proof of many long-standing problems. In particular, in number theory Wiles and Taylor used universal deformation rings of Galois representations in the proof of Fermat's Last Theorem. The main motivation for determining universal deformation rings of modules for finite dimensional algebras is that deep results from representation theory can be used to arrive at a better understanding of deformation rings. In this thesis, I study the universal deformation rings of certain modules for algebras of dihedral type of polynomial growth which have been completely classied by Erdmann and Skowronski using quivers and relations. More precisely, let κ be an algebraically closed field and let λ be a κ-algebra of dihedral type which is of polynomial growth. In this thesis, first classify all λ-modules whose stable endomorphism ring is isomorphic to κ and which are given combinatorially by strings, and then I determine the universal deformation ring of each of these modules.
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Liu, Chorng-Fuh. "Geometrically nonlinear analysis of composite laminates using a refined shear deformation shell theory." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/54453.

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The theory is based on an assumed displacement field, in which the surface displacements are expanded in powers of the thickness coordinate up to the third order. The theory allows parabolic description of the transverse shear stresses, and therefore the shear correction factors of the usual shear deformation theory are not required in the present theory. The theory accounts for small strains but moderately large displacements (i.e., von Karman strains). Exact solutions for certain cross-ply shells and finite-element models of the theory are also developed. The finite-element model is based on independent approximations of the displacements and bending moments (i.e., mixed formulation), and therefore only C°-approximations are required. Further, the mixed variational formulations developed herein suggest that the bending moments can be interpolated using discontinuous approximations (across inter-element boundaries). The finite element is used to analyze cross-ply and angle-ply laminated shells for bending, vibration, and transient response. Numerical results are presented to show the effects of boundary conditions, lamination scheme (i.e., bending-stretching coupling and material anisotropy) shear deformation, and geometric nonlinearity on deflections and frequencies. Many of the numerical results presented here for laminated shells should serve as references for future investigations.
Ph. D.
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MIRJALILI, Mojtaba. "Numerical Analysis of a Large-Scale Levee on Soft Soil Deposits Using Two-Phase Finite Deformation Theory." 京都大学 (Kyoto University), 2010. http://hdl.handle.net/2433/126785.

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Michael, Detlef, and Mathias Meisel. "Some remarks to large deformation elasto-plasticity (continuum formulation)." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501150.

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The continuum theory of large deformation elasto-plasticity is summarized as far as it is necessary for the numerical treatment with the Finite-Element-Method. Using the calculus of modern differential geometry and functional analysis, the fundamental equations are derived and the proof of most of them is shortly outlined. It was not our aim to give a contribution to the development of the theory, rather to show the theoretical background and the assumptions to be made in state of the art elasto-plasticity.
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Ames, Nicoli M. (Nicoli Margret) 1978. "A thermo-mechanical finite deformation theory of plasticity for amorphous polymers : application to micro-hot-embossing of poly(methyl methacrylate)." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/42068.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Includes bibliographical references.
Amorphous thermoplastic polymers are important engineering materials; however, their nonlinear, strongly temperature- and rate-dependent elastic-visco-plastic behavior has, until now, not been very well understood. The behavior has previously been modeled with mixed success by existing constitutive theories. As a result, there is currently no generally agreed upon theory to model the large-deformation, thermo-mechanically coupled, elasto-visco-plastic response of amorphous polymeric materials spanning their glass transition temperatures. What is needed is a unified constitutive framework that is capable of capturing the transition from a visco-elastic-plastic solidlike response below the glass transition temperature, to a rubbery-viscoelastic response above the glass transition temperature, to a fluid-like response at yet higher temperatures. We have developed a continuum-mechanical constitutive theory aimed to fill this need. The theory has been specialized to represent the salient features of the mechanical response of poly(methyl methacrylate) in a temperature range spanning room temperature to 60C above the glass transition temperature #g 110C of the material, in a strain-rate range of 10-4/s to 10-1/s, and under compressive stress states in which this material does not exhibit crazing. We have implemented our theory in the finite element program ABAQUS/Explicit. The numerical simulation capability of the theory is demonstrated with simulations of the micron-scale hot-embossing process for manufacture of microfluidic devices.
by Nicoli Margaret Ames.
Ph.D.
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Pauer, Brett Arnold. "Development of a finite element method program for the analysis of laminated composite plates using first-order shear deformation theory." Connect to resource, 1993. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1232807239.

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Wikström, Adam. "Modeling of stresses and deformation in thin film and interconnect line structures." Doctoral thesis, KTH, Solid Mechanics, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3224.

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NAKANO, MASAKI, AKIRA ASAOKA, and TOSHIHIRO NODA. "SOIL-WATER COUPLED FINITE DEFORMATION ANALYSIS BASED ON A RATE-TYPE EQUATION OF MOTION INCORPORATING THE SYS CAM-CLAY MODEL." 地盤工学会, 2008. http://hdl.handle.net/2237/20062.

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Castro, Jaime. "Influence of random formation on paper mechanics : experiments and theory." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/7016.

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Books on the topic "(finite deformation theory)"

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Reddy, J. N. A refined shear deformation theory for the analysis of laminated plates. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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Madenci, Erdogan. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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Center, Langley Research, and United States. National Aeronautics and Space Administration., eds. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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Center, Langley Research, and United States. National Aeronautics and Space Administration., eds. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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Besdo, Dieter, and Erwin Stein, eds. Finite Inelastic Deformations — Theory and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84833-9.

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D, Besdo, Stein Erwin, and International Union of Theoretical and Applied Mechanics., eds. Finite inelastic deformations: Theory and applications : IUTAM Symposium, Hannover, Germany, 1991. Berlin: Springer-Verlag, 1992.

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Besdo, D. Finite Inelastic Deformations - Theory and Applications: IUTAM Symposium Hannover, Germany 1991. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992.

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Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. Providence, RI: American Mathematical Society, 2012.

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Apel, Nikolas. Approaches to the description of anisotropic material behaviour at finite elastic and plastic deformations: Theory and numerics. Stuttgart: Inst. für Mechanik (Bauwesen) der Univ., 2004.

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Southeastern Lie Theory Workshop on Combinatorial Lie Theory and Applications (2009 : North Carolina State University), Southeastern Lie Theory Conference on Homological Methods in Representation Theory (2010 : University of Georgia), and Southeastern Lie Theory Workshop: Finite and Algebraic Groups (2011 : University of Virginia), eds. Recent developments in Lie algebras, groups, and representation theory: 2009-2011 Southeastern Lie Theory Workshop series : Combinatorial Lie Theory and Applications, October 9-11, 2009, North Carolina State University : Homological Methods in Representation Theory, May 22-24, 2010, University of Georgia : Finite and Algebraic Groups, June 1-4, 2011, University of Virginia. Providence, Rhode Island: American Mathematical Society, 2012.

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Book chapters on the topic "(finite deformation theory)"

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Merodio, José, and Raymond Ogden. "Finite Deformation Elasticity Theory." In Constitutive Modelling of Solid Continua, 17–52. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31547-4_2.

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Ueda, Kyohei. "Large Deformation (Finite Strain) Analysis: Theory." In Developments in Earthquake Geotechnics, 367–88. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62069-5_17.

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Arnod, S., M. Battaglio, N. Bellomo, D. Costanzo, R. Lancellotta, and L. Preziosi. "Finite Deformation Models and Field Performance." In Porous Media: Theory and Experiments, 17–27. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4579-4_2.

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Stein, Erwin, and Christian Miehe. "Theory and Finite Element Computation of Finite Elasto-Visco-Plastic Strains." In Anisotropy and Localization of Plastic Deformation, 409–12. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3644-0_95.

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Sluys, L. J., W. M. Wang, and A. Pozivilova. "Finite deformation viscoplasticity for localization problems." In Bifurcation and Localisation Theory in Geomechanics, 161–67. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003210931-22.

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Steinmann, Paul, and Kaspar Willam. "Localization Analysis in Finite Deformation Elasto-Plasticity." In Finite Inelastic Deformations — Theory and Applications, 323–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84833-9_29.

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Zhi-Da, Chen. "Geometric theory of finite deformation of shells." In Progress in Applied Mechanics, 215–44. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3487-0_16.

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Ellyin, F., and Z. Xia. "A New Constitutive Formulation for Finite Elastoplastic Deformation." In Finite Inelastic Deformations — Theory and Applications, 125–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84833-9_12.

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de Borst, Rene, and Hans-Bernd Muhlhaus. "Finite Deformation Analysis of Inelastic Materials with Micro-Structure." In Finite Inelastic Deformations — Theory and Applications, 313–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84833-9_28.

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Govindarajan, R. M., and N. Aravas. "Asymptotic Analysis and Numerical Simulation of Deformation Processing of Porous Metals." In Finite Inelastic Deformations — Theory and Applications, 57–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84833-9_6.

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Conference papers on the topic "(finite deformation theory)"

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Jasotharan, S., and I. R. A. Weerasekera. "An exact finite element using hyperbolic shear deformation beam theory." In 2017 Moratuwa Engineering Research Conference (MERCon). IEEE, 2017. http://dx.doi.org/10.1109/mercon.2017.7980493.

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Levenston, Marc E., Eliot H. Frank, and Alan J. Grodzinsky. "A Finite Deformation Theory and Finite Element Formulation for Coupled Electrokinetic and Fluid Flow in Soft Tissues: Application to Electroosmotic Flow." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0291.

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Abstract Due to the fixed charge density (FCD) in the solid matrix and the ionic nature of the interstitial fluid, cartilage and other soft tissues exhibit coupling between mechanical (deformation, fluid flow, fluid pressurization) and electrical (current, streaming potential) phenomena (Maroudas et al., 1969; Frank and Grodzinsky, 1987). Similar behavior has long been recognized in soil mechanics, and linear finite element formulations have been developed (Lewis and Garner, 1972). Soft tissues, however, typically undergo large deformations and have material properties that strongly vary with deformation. To date, no finite element formulations have been introduced that are capable of representing the nonlinear, electromechanically coupled behavior of soft tissues.
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Ateshian, Gerard A., Steve Maas, and Jeffrey A. Weiss. "Implementation of Finite Deformation Triphasic Modeling in the Finite Element Code FEBio." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80148.

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Many biological soft tissues exhibit a charged solid matrix, most often due to the presence of proteoglycans enmeshed within the matrix. The predominant solute content of the interstitial fluid of these tissues consists of the monovalent counter-ions Na+ and Cl−. The electrical interactions between the mobile ion species and fixed charge density of the solid matrix produces an array of mechano-electrochemical effects, including Donnan osmotic swelling, and streaming and diffusion potentials and currents. These phenomena have been successfully modeled by the triphasic theory of Lai et al. [1], which is based on the framework of mixture theory [2]. Other similar frameworks have also been proposed [3, 4]. The equations of triphasic theory are nonlinear, even in the range of infinitesimal strains. Therefore, numerical schemes are generally needed to solve all but the simplest problems using this framework.
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Reddy, J. N. "An Overview of Shear Deformation Theories and Their Relationships to the Classical Theory." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-1190.

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Abstract The paper presents a review of various shear deformation theories of beams and plates and a critical evaluation of the theories from analysis points of view. In particular post-computation of stresses in composites is revisited and alternative approaches are discussed in light of Pagano’s works on the subject. In addition, relationships for bending, vibration, and buckling solutions of shear deformation theories in terms of the corresponding solutions of the classical theory are discussed. These relationships may be used to determine the solutions of shear deformation theories by knowing the corresponding solutions of the classical theory. These relationships are also used to develop finite element models of the shear deformation theories of beams and plates. These finite element models, unlike the conventional finite element models, are free of so-called shear locking. Dedication: This work is dedicated to Nicholas J. Pagano, a friend and colleague, on his sixty fifth birthday.
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Sugiyama, Hiroyuki, and Ahmed A. Shabana. "Use of Plasticity Theory in Flexible Multibody System Dynamics." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48326.

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The objective of this investigation is to develop a general nonlinear finite deformation formulation for the elastic-plastic analysis of flexible multibody systems. The Lagrangian plasticity theory based on J2 flow theory is used to account for the effect of plasticity in flexible multibody dynamics. In addition, it is demonstrated that the principle of objectivity that is an issue when existing finite element formulations using ratetype constitutive equations are used can be fully satisfied when the stress and strain rate are directly calculated in the Lagrangian descriptions using the absolute nodal coordinate formulation employed in this investigation. This is attributed to the fact that, in the finite element absolute nodal coordinate formulation, the position vector gradients can completely define the state of rotation and deformation within the element. As a consequence, the numerical algorithm used to determine the plastic deformations such as the Radial Return Algorithm becomes much simpler when the absolute nodal coordinate formulation is used as compared to existing finite element formulations that employ incrementally objective algorithms. Several numerical examples are presented in order to demonstrate the use of the formulations presented in the paper.
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Kulkarni, Shank S., and Tanmay K. Bhandakkar. "Study of the Effect of Large Deformation Through a Finite Deformation Based Constitutive Model for Metallic Glasses." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86063.

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A thermodynamically consistent constitutive model of metallic glass is presented by extending the infinitesimal deformation model of Huang et al. [Huang, R., Suo, Z., Prevost, J. H., and Nix,W. D., 2002.Inhomogeneous deformation in metallic glasses,J. Mech. Phys. Solids, 40, 1011–1027] to finite deformation. The underlying theory behind the model is the free volume theory with free volume concentration as the order parameter affected through the processes of diffusion, annihilation and creation. The main assumptions of the model include multiplicative decomposition of deformation gradient and additive decomposition of free energy. The former comprises of elastic, inelastic dilatational component associated with excess free volume concentration and isochoric plastic part while the latter consists of contributions from elastic deformation and free volume concentration. The plastic part evolves according to Mises-theory and the local free volume concentration. Homogeneous simple shear is the model problem solved using the present model and compared with the infinitesimal deformation theory to examine the effect of large deformation on stresses in metallic glasses.
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Hovey, Chad B., Matthew L. Kaplan, and Jean H. Heegaard. "A Viscoelastic Model for Finite Deformation of Soft Tissue." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0121.

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Abstract The ubiquitous presence of soft tissue in the human body has provided significant motivation for researchers to model its behavior. Specifically, soft tissue models for cartilage have been extensively developed. The biphasic (Mow et al., 1984) model has provided a foundation for the understanding of cartilage behavior, grounded in a solid-fluid interaction point-of-view. Phenomenological approaches have also been made, borrowing developments from viscoelasticity and applying those models to biomechanics. Woo et al. (1980) discussed the viscoelastic properties of cartilage in the context of a quasi-linear theory.
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Chang, Chiang-Nan, and Thien-Rhei Chen. "A Finite Element Modeling of Higher Order Shear Deformation Theory on a Plate Vibration Problem." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0347.

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Abstract Higher order Shear Defamation Plate Theories (HSDPT) are improved theories over Mindlin plate theory because their assumptions are closer to reality. However, they are seldom used in solving ordinary engineering works. This is due to the fact that mathematical formulations and computations are so lengthy that time and efforts required are close to solving a exact 3-D model. For problems involving sharp stress variation, higher order theories are anticipated to give better results. The combination of HSDPT and Finite Element Modelings are especially attractive because a finite element modeling is much simpler. The current research develops a finite element model on the higher order shear deformation theory. A plate vibration problem was solved. The plates contain square interior cutout. Stress distributions are much complicated than whole plates. Results of HSDPT are compared with FSDPT (First order Shear Deformation Plate Theories) and CPT (Classical Plate Theory). Better accuracies are obtained by using the HSDPT.
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Duan, Xinjian, Arnaud Weck, David S. Wilkinson, and Don R. Metzger. "Plastic Limit Analysis of Perforated Material Under Finite Deformation." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71646.

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In this paper, the fracture pattern of a perforated aluminum sheet is studied experimentally and numerically using finite element models on two different length scales: a full-scale structural and a local cell models based on the large deformation theory. Through appropriate application of boundary conditions, the more efficient local cell model is shown to produce almost the same results as the full structural model. It is also found that the failure path is significantly affected by the loading conditions (uniaxial vs. biaxial) and the hole distribution pattern. By plotting the instantaneous contour of plastic strain rate, the fracture path could clearly be distinguished by the time that the overall engineering strain had reached 3%.
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Iyengar, N. G. R., and Arindam Chakraborty. "Buckling of Composite Laminates Using Higher Order Deformation Theory." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-2584.

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Response of composite laminates under in-plane compressive or shear loadings is of interest to the analyst and designers. Since they are thin, they are prone to instability under in-plane loads. Transverse shear effects are important even for thin laminates since elastic modulus and shear modulus are independent properties. For very thick laminates neglecting transverse shear effects leads to completely erroneous results. A number of different theories have been suggested by different investigators to account for transverse shear effects. In this investigation, an attempt has been made to take into account transverse shear effects for the stability analysis of moderately thick/very thick composite laminates under in-plane compressive and shear loading using a “SIMPLE HIGHER ORDER SHEAR DEFORMATION THEORY” based on four unknown displacements instead of five which is commonly used for most of the other higher order theories. A C1 continuous shear flexible finite element based on the proposed HSDT is developed using the Hermite cubic rectangular element. The analytical results obtained have been compared with the available results in literature. Effect of various parameters like aspect ratio, thickness to side ratio, fiber orientation and material properties have been studied in detail.
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Reports on the topic "(finite deformation theory)"

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Tordesillas, Antoinette. A Large Deformation Finite Element Analysis of Soil-Tire Interaction Based on the Contact Mechanics Theory of Rolling and/or Sliding Bodies. Fort Belvoir, VA: Defense Technical Information Center, June 2000. http://dx.doi.org/10.21236/ada384198.

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Oliynyk, Kateryna, and Matteo Ciantia. Application of a finite deformation multiplicative plasticity model with non-local hardening to the simulation of CPTu tests in a structured soil. University of Dundee, December 2021. http://dx.doi.org/10.20933/100001230.

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In this paper an isotropic hardening elastoplastic constitutive model for structured soils is applied to the simulation of a standard CPTu test in a saturated soft structured clay. To allow for the extreme deformations experienced by the soil during the penetration process, the model is formulated in a fully geometric non-linear setting, based on: i) the multiplicative decomposition of the deformation gradient into an elastic and a plastic part; and, ii) on the existence of a free energy function to define the elastic behaviour of the soil. The model is equipped with two bonding-related internal variables which provide a macroscopic description of the effects of clay structure. Suitable hardening laws are employed to describe the structure degradation associated to plastic deformations. The strain-softening associated to bond degradation usually leads to strain localization and consequent formation of shear bands, whose thickness is dependent on the characteristics of the microstructure (e.g, the average grain size). Standard local constitutive models are incapable of correctly capturing this phenomenon due to the lack of an internal length scale. To overcome this limitation, the model is framed using a non-local approach by adopting volume averaged values for the internal state variables. The size of the neighbourhood over which the averaging is performed (characteristic length) is a material constant related to the microstructure which controls the shear band thickness. This extension of the model has proven effective in regularizing the pathological mesh dependence of classical finite element solutions in the post-localization regime. The results of numerical simulations, conducted for different soil permeabilities and bond strengths, show that the model captures the development of plastic deformations induced by the advancement of the cone tip; the destructuration of the clay associated with such plastic deformations; the space and time evolution of pore water pressure as the cone tip advances. The possibility of modelling the CPTu tests in a rational and computationally efficient way opens a promising new perspective for their interpretation in geotechnical site investigations.
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Ramakrishnan, Aravind, Ashraf Alrajhi, Egemen Okte, Hasan Ozer, and Imad Al-Qadi. Truck-Platooning Impacts on Flexible Pavements: Experimental and Mechanistic Approaches. Illinois Center for Transportation, November 2021. http://dx.doi.org/10.36501/0197-9191/21-038.

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Truck platoons are expected to improve safety and reduce fuel consumption. However, their use is projected to accelerate pavement damage due to channelized-load application (lack of wander) and potentially reduced duration between truck-loading applications (reduced rest period). The effect of wander on pavement damage is well documented, while relatively few studies are available on the effect of rest period on pavement permanent deformation. Therefore, the main objective of this study was to quantify the impact of rest period theoretically, using a numerical method, and experimentally, using laboratory testing. A 3-D finite-element (FE) pavement model was developed and run to quantify the effect of rest period. Strain recovery and accumulation were predicted by fitting Gaussian mixture models to the strain values computed from the FE model. The effect of rest period was found to be insignificant for truck spacing greater than 10 ft. An experimental program was conducted, and several asphalt concrete (AC) mixes were considered at various stress levels, temperatures, and rest periods. Test results showed that AC deformation increased with rest period, irrespective of AC-mix type, stress level, and/or temperature. This observation was attributed to a well-documented hardening–relaxation mechanism, which occurs during AC plastic deformation. Hence, experimental and FE-model results are conflicting due to modeling AC as a viscoelastic and the difference in the loading mechanism. A shift model was developed by extending the time–temperature superposition concept to incorporate rest period, using the experimental data. The shift factors were used to compute the equivalent number of cycles for various platoon scenarios (truck spacings or rest period). The shift model was implemented in AASHTOware pavement mechanic–empirical design (PMED) guidelines for the calculation of rutting using equivalent number of cycles.
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Clapham. L52206 3D Details of Defect-Induced MFL and Stress in Pipelines. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), December 2002. http://dx.doi.org/10.55274/r0011358.

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The following report represents a continuation of our ongoing efforts to understand and quantify the effect of stress on MFL signals from oil and gas transmission line inspection tools. Earlier GRI funding has enabled us to develop an unprecedented understanding of stress effects on magnetic behaviour in pipeline steels, and this understanding is now further enhanced and applied to specific problems such as MFL signals from interacting defects and also MFL signals produced from mechanical damage. This report summarizes the result of the 2002 studies. These studies focused on 3 main areas: MFL signals from interacting defects � examined how magnetic behaviour is altered when two pits are sufficiently close that their stress and magnetization fields interact. This produces MFL signal effects that differ from those of isolated defects. MFL signal dependence on elastic, plastic and residual strain � this continues our fundamental investigation into stress effects. By combining applied uniaxial strain and stress-relief heat treatments, we have been able to show how magnetic behaviour and MFL signals respond to different types of deformation. Specifically, we have found the elastic deformation has a significant effect, but that plastic deformation does not. This is a fundamental result on which our further modeling and experimental studies are based. MFL signals from mechanical damage � this is the first year we have turned our attention to this specific area, however our earlier results have laid the groundwork for these studies. MFL signals from dents contain geometry and stress components. We have conducted experimental and finite element modeling studies of MFL signals from dented samples, and have shown that the MFL signal from shallow dents arises from the residual stress pattern, while severe dent signals are mainly related to dent geometry. This work forms the main part of a continuing study.
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ELASTIC BUCKLING OF OUTSTAND STAINLESS-CLAD BIMETALLIC STEEL PLATES SUBJECTED TO UNIAXIAL COMPRESSION. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.274.

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The application of stainless-clad (SC) bimetallic steel in various conditions such as offshore and marine environment requires members designed in different cross-sectional shapes, which consist of both internal and outstand elements. To form a comprehensive understanding of buckling behaviour of the SC bimetallic steel members, the behaviour of outstand compression plates needs to be investigated. In this study, the theoretical elastic buckling stress of outstand SC bimetallic steel plates subjected to uniformly distributed uniaxial compression is derived. Considering the position of neutral surface, the energy method and Ritz formulation are used to solve the buckling stress. Adaptation of the first-order shear deformation plate theory (FSDT) is used to modify the solution, which is further compared with finite element analyses. The influence of different parameters such as cladding configuration, clad ratio, elastic modulus ratio, aspect ratio and width-to-thickness ratio on the elastic buckling behaviour of SC bimetallic plates is analysed. The simplified design formulae and design requirements are summarized to form a comprehensive design method.
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ELASTIC BUCKLING OF OUTSTAND STAINLESS-CLAD BIMETALLIC STEEL PLATES. The Hong Kong Institute of Steel Construction, March 2023. http://dx.doi.org/10.18057/ijasc.2023.19.1.5.

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The application of stainless-clad (SC) bimetallic steel in various conditions such as offshore and marine environment requires members designed in different cross-sectional shapes, which consist of both internal and outstand elements. To form a comprehensive understanding of buckling behaviour of the SC bimetallic steel members, the behaviour of outstand compression plates needs to be investigated. In this study, the theoretical elastic buckling stress of outstand SC bimetallic steel plates subjected to uniformly distributed uniaxial compression is derived. Considering the position of neutral surface, the energy method and Ritz formulation are used to solve the buckling stress. Adaptation of the first-order shear deformation plate theory (FSDT) is used to modify the solution, which is further compared with finite element analyses. The influence of different parameters such as cladding configuration, clad ratio, elastic modulus ratio, aspect ratio and width-to-thickness ratio on the elastic buckling behaviour of the SC bimetallic plates is analysed. The simplified design formulae and design requirements are summarized to form a comprehensive design method.
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EFFECT OF RANDOM PRE-STRESSED FRICTION LOSS ON THE PERFORMANCE OF A SUSPEN-DOME STRUCTURE. The Hong Kong Institute of Steel Construction, March 2022. http://dx.doi.org/10.18057/ijasc.2022.18.1.5.

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The key to the high-efficiency performance of the suspen-dome structure is to apply the pre-stressed design value to the structure accurately. However, engineering practice has found that the use of tensioning hoop cables to apply the pre-stress will produce noticeable pre-stressed friction loss (PFL), which significantly affects the safety performance of the structure. In this paper, based on a 1:10 scaled-down experiment model of a suspen-dome structure with rolling cable-strut joint installed, the random PFL (RPFL) effect of the suspen-dome on structure performance was analyzed through a probability statistics theory. First, aiming at the unequal tensioning force at both sides of the tensioned hoop cable during the tensioning process, a pre-stressed force calculation method is proposed that considers the unequal tensioning control force and RPFL at all cable–strut joints, and the reliability of this method is verified through a tension test. Then, based on the cable-joint tension test carried out in the early stage of the research group, a random mathematical model of the friction coefficient (FC) at the rolling cable–strut joint is established. And then, the cable force calculation method is used to establish the random finite element model, and independent and random changes in the FC at each rolling cable–strut joint can be considered. Subsequently, the Monte Carlo method is used to calculate the random mathematical characteristics of the mechanical performance parameters such as the member stress and joint deformation, and the obtained results are verified through a static loading experiment. In addition, to investigate the effect of random defects on structural stability, other random defects, such as the initial curvature and installation deviation, were continuously introduce based on the random finite element model. As such, we could obtain the law of the effect of multi-defect random variation coupling on the structure’s ultimate bearing capacity.
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A SIMPLE METHOD FOR A RELIABLE MODELLING OF THE NONLINEAR BEHAVIOUR OF BOLTED CONNECTIONS IN STEEL LATTICE TOWERS. The Hong Kong Institute of Steel Construction, March 2022. http://dx.doi.org/10.18057/ijasc.2022.18.1.6.

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The behaviour of bolted connections in steel lattice transmission line towers affects their load-bearing capacity and failure mode. Bolted connections are commonly modelled as pinned or fixed joints, but their behaviour lies between these two extremes and evolves in a nonlinear manner. Accordingly, an accurate finite element modelling of the structural response of complete steel lattice towers requires the consideration of various nonlinear phenomena involved in bolted connexions, such as bolt slippage. In this study, a practical method is proposed for the modelling of the nonlinear response of steel lattice tower connections involving one or multiple bolts. First, the local load-deformation behaviour of single-bolt lap connections is evaluated analytically depending on various geometric and material parameters and construction details. Then, the predicted nonlinear behaviour for a given configuration serves as an input to a 2D/3D numerical model of the entire assembly of plates in which the bolted joints are represented as discrete elements. For comparison purposes, an extensive experimental study comprising forty-four tests were conducted on steel plates assembled with one or two bolts. This approach is also extended to simulate the behaviour of assemblies including four bolts and the obtained results are checked against experimental datasets from the literature. The obtained results show that the proposed method can predict accurately the response of a variety of multi-bolt connections. A potential application of the strategy developed in this paper could be in the numerical modelling of full-scale steel lattice towers, particularly for a reliable estimation of the displacements.
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