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Relevant bibliographies by topics / Strain invariance

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Academic literature on the topic 'Strain invariance'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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Journal articles on the topic "Strain invariance"

1

Dashner, P. A. "Invariance Considerations in Large Strain Elasto-Plasticity." Journal of Applied Mechanics 53, no. 1 (1986): 55–60. http://dx.doi.org/10.1115/1.3171738.

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This paper addresses a number of issues in the ongoing debate over the relevance and/or appropriateness of the rotational invariance requirement which is generally associated with the intermediate unstressed configuration. In particular, it is argued that the principle of material frame invariance has been “misapplied” by the proponents of full rotational invariance. Insistence on a strictly “kinematic” interpretation of the deformation gradient (F = FeFp) constituents Fe and Fp justifies elimination of the plastic rotational component Rp(Fp = RpUp) based on the principle of determinism for st

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2

Ebobisse, François, and Patrizio Neff. "A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor." Mathematics and Mechanics of Solids 25, no. 2 (2019): 129–59. http://dx.doi.org/10.1177/1081286519845026.

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In this paper we derive a novel fourth-order gauge-invariant phenomenological model of infinitesimal rate-independent gradient plasticity with isotropic hardening and Kröner’s incompatibility tensor [Formula: see text], where [Formula: see text] is the symmetric plastic strain tensor. Here, gauge-invariance denotes invariance under diffeomorphic reparametrizations of the reference configuration, suitably adapted to the geometrically linear setting. The model features a defect energy contribution that is quadratic in the tensor [Formula: see text] and it contains isotropic hardening based on th

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Münch, Ingo, and Patrizio Neff. "Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy." Mathematics and Mechanics of Solids 23, no. 1 (2016): 3–42. http://dx.doi.org/10.1177/1081286516666134.

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For homogeneous higher-gradient elasticity models we discuss frame-indifference and isotropy requirements. To this end, we introduce the notions of local versus global SO(3)-invariance and identify frame-indifference (traditionally) with global left SO(3)-invariance and isotropy with global right SO(3)-invariance. For specific restricted representations, the energy may also be local left SO(3)-invariant as well as local right SO(3)-invariant. Then we turn to linear models and consider a consequence of frame-indifference together with isotropy in nonlinear elasticity and apply this joint invari

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4

Vijayakumar, K., and J. G. Ashoka. "A Bilinear Constitutive Model for Isotropic Bimodulus Materials." Journal of Engineering Materials and Technology 112, no. 3 (1990): 372–79. http://dx.doi.org/10.1115/1.2903341.

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Proper formulation of stress-strain relations, particularly in tension-compression situations for isotropic biomodulus materials, is an unresolved problem. Ambartsumyan’s model [8] and Jones’ weighted compliance matrix model [9] do not satisfy the principle of coordinate invariance. Shapiro’s first stress invariant model [10] is too simple a model to describe the behavior of real materials. In fact, Rigbi [13] has raised a question about the compatibility of bimodularity with isotropy in a solid. Medri [2] has opined that linear principal strain-principal stress relations are fictitious, and w

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5

Zubchaninov, V. G. "To the Question of Determining Laws of Communication General Mathematical Theory of Plasticity." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 2 (206) (June 18, 2020): 48–52. http://dx.doi.org/10.18522/1026-2237-2020-2-48-52.

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The paper discusses the question of the reliability and applicability of the general laws of the mathematical theory of plasticity. In a new direction of the theory of plasticity (the theory of elastic-plastic deformation processes) the isotropy postulate is given, which establishes the invariance of the connection between stresses and strains. However, this invariance during orthogonal transformations of the image of the process and its vectors in the linear coordinate space can be violated due to a change in the invariants of the form of the stress-strain state. However, numerous experiments

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Hansen, Andrew C., Donald M. Blackketter, and David E. Walrath. "An Invariant-Based Flow Rule for Anisotropic Plasticity Applied to Composite Materials." Journal of Applied Mechanics 58, no. 4 (1991): 881–88. http://dx.doi.org/10.1115/1.2897701.

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In this paper we discuss some fundamental problems associated with incremental anisotropic plasticity theories when applied to unidirectional composite materials. In particular, we question the validity of an effective stress-strain relation for highly anisotropic materials of this nature. An effective stress-strain relation is conventionally used to determine a flow rule for plastic strain increments. It is our view that such a relation generally does not exist for many high-performance unidirectional composites. To alleviate the problem associated with defining an effective stress-strain cur

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Wildy, Stuart, Benjamin Cazzolato, and Andrei G. Kotousov. "Detection of Delamination Damage in a Composite Laminate Beam Utilising the Principle of Strain Compatibility." Key Engineering Materials 417-418 (October 2009): 269–72. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.269.

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This paper presents an experimental investigation of a new method for damage detection based on the most fundamental concept in continuum mechanics: strain compatibility. Compliance with this principle implies a deformed material is free from discontinuities, which are indicative of many types of structural damage. Therefore the principle of strain compatibility, in its ability to identify discontinuities, is very promising as a new foundation for future research into non-destructive evaluation and structural health monitoring technologies. The proposed method has many advantages compared to e

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Hetland, E. A., and B. H. Hager. "Interseismic strain accumulation: Spin-up, cycle invariance, and irregular rupture sequences." Geochemistry, Geophysics, Geosystems 7, no. 5 (2006): n/a. http://dx.doi.org/10.1029/2005gc001087.

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WI, NOEL TAY NUO, CHU KIONG LOO, and LETCHUMANAN CHOCKALINGAM. "BIOLOGICALLY INSPIRED FACE RECOGNITION: TOWARD POSE-INVARIANCE." International Journal of Neural Systems 22, no. 06 (2012): 1250029. http://dx.doi.org/10.1142/s0129065712500293.

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A small change in image will cause a dramatic change in signals. Visual system is required to be able to ignore these changes, yet specific enough to perform recognition. This work intends to provide biological-backed insights into 2D translation and scaling invariance and 3D pose-invariance without imposing strain on memory and with biological justification. The model can be divided into lower and higher visual stages. Lower visual stage models the visual pathway from retina to the striate cortex (V1), whereas the modeling of higher visual stage is mainly based on current psychophysical evide

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Lebyodkin, Mikhail, Youcef Bougherira, Tatiana Lebedkina, and Denis Entemeyer. "Scaling in the Local Strain-Rate Field during Jerky Flow in an Al-3%Mg Alloy." Metals 10, no. 1 (2020): 134. http://dx.doi.org/10.3390/met10010134.

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Jerky flow in alloys, or the Portevin-Le Chatelier effect, presents an outstanding example of self-organization phenomena in plasticity. Recent acoustic emission investigations revealed that its microscopic dynamics is governed by scale invariance manifested as power-law statistics of intermittent events. As the macroscopic stress serrations show both scale invariance and characteristic scales, the micro-macro transition is an intricate question requiring an assessment of intermediate behaviors. The first attempt of such an investigation is undertaken in the present paper by virtue of a one-di

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Dissertations / Theses on the topic "Strain invariance"

1

Grbčić, Sara. "Linked interpolation and strain invariance in finite-element modelling of micropolar continuum." Thesis, Compiègne, 2018. http://www.theses.fr/2018COMP2454.

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Au cœur de cette thèse est une théorie de continuum alternatif connue comme la théorie micropolaire, qui est développée pour décrire des phénomènes lesquels on ne peut pas décrire en utilisant la théorie classique. Dans cette théorie, en complément du champ de déplacement, il existe aussi un autre champ indépendant, celui de microrotation, et afin de pouvoir décrire complètement un tel matériau, six paramètres des matériaux sont nécessaires. Dans le cadre de la modélisation par éléments finis, nouveaux éléments fondés sur la théorie micropolaire dans les régimes linéaire et géométriquement non

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2

Johal, Amundeep Singh. "A study of elastic constants and strain invariants." Thesis, Queen Mary, University of London, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.439299.

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Nascimento, Vinicius Mesquita do. "Estudo do ponto invariante com a temperatura (ZTC) em SOI-FInFETS tensionados e radiados." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/3/3140/tde-28062017-153626/.

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Este trabalho foi realizado tendo como objetivo o estudo do ponto invariante com a temperatura (ZTC - Zero Temperature Coefficient) para transistores com estrutura SOI FinFET em relação aos efeitos de tensionamento e radiação, através da utilização de dados experimentais e de um modelo analítico. Foram analisados primeiramente os parâmetros básicos de tensão de limiar e transcondutância, nos quais está baseado todo o modelo e verificado a influência dos efeitos do tensionamento e da radiação nos mesmos, para analisar o comportamento da tensão de porta no ponto ZTC em dispositivos do tipo n. Fo

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Song, Min Jae. "Direct tensor expression by Eulerian approach for constitutive relations based on strain invariants in transversely isotropic green elasticity - finite extension and torsion." [College Station, Tex. : Texas A&M University, 2006. http://hdl.handle.net/1969.1/ETD-TAMU-1667.

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Books on the topic "Strain invariance"

1

Speziale, Charles G. Modeling the pressure-strain correlation of turbulence - an invariant dynamical systems approach. Institute for Computer Applications in Science and Engineering, 1990.

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2

Kaku, Michio. Strings, conformal fields, and M-theory. 2nd ed. Springer, 2000.

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3

Verlinde, Erik Peter. Conformal field theory and its application to strings = Conforme veldentheorie en haar toepassing op strings. E.P. Verlinde, 1988.

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4

Vega, H. J. de 1949- and Sanchez N. 1952-, eds. String theory, quantum cosmology and quantum gravity: Integrable and conformal invariant theories : proceedings of the Paris-Meudon Colloquim, 22-26 September 1986. World Scientific, 1987.

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5

International Conference on Differential Geometric Methods in Theoretical Physics: Physics and Geometry (18th 1988 University of California, Davis). Differential geometric methods in theoretical physics: Physics and geometry. Plenum Press, 1990.

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6

1967-, Becker Katrin, ed. Snowbird lectures on string geometry: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on String Geometry, June 5-11, 2004, Snowbird, Utah. American Mathematical Society, 2006.

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editor, Donagi Ron, Katz Sheldon 1956 editor, Klemm Albrecht 1960 editor, and Morrison, David R., 1955- editor, eds. String-Math 2012: July 16-21, 2012, Universität Bonn, Bonn, Germany. American Mathematical Society, 2015.

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8

1942-, Dita P., Georgescu V. 1947-, Institutul Central de Fizică (Romania), and Summer School on Conformal Invariance and String Theory (1987 : Poiana Brașov, Romania), eds. Conformal invariance and string theory. Academic Press, 1989.

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9

(Editor), Jean Bernard Zuber, ed. Conformal Invariance and Applications to Statistical Mechanics. World Scientific Pub Co Inc, 1988.

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10

S, Sarkar, Gatski T. B, and Langley Research Center, eds. Modeling the pressure-strain correlation of turbulence: An invariant dynamical systems approach. National Aeronautics and Space Administration, Langley Research Center, 1990.

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Book chapters on the topic "Strain invariance"

1

Lliboutry, Louis A. "Rotation and strain. Invariants of stress and of strain rates." In Mechanics of Fluids and Transport Processes. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3563-1_3.

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2

Shreve, Matthew, Sergiy Fefilatyev, Nestor Bonilla, Gerry Hernandez, Dmitry Goldgof, and Sudeep Sarkar. "View-Invariant Method for Calculating 2D Optical Strain." In Advances in Depth Image Analysis and Applications. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40303-3_5.

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3

Hyyrö, Heikki. "Restricted Transposition Invariant Approximate String Matching Under Edit Distance." In String Processing and Information Retrieval. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11575832_29.

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4

Zuev, Lev B. "Autowave Mechanics of Plastic Flow." In Springer Tracts in Mechanical Engineering. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60124-9_12.

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AbstractThe notions of plastic flow localization are reviewed here. It have been shown that each type of localized plasticity pattern corresponds to a given stage of deformation hardening. In the course of plastic flow development a changeover in the types of localization patterns occurs. The types of localization patterns are limited to a total of four pattern types. A correspondence has been set up between the emergent localization pattern and the respective flow stage. It is found that the localization patterns are manifestations of the autowave nature of plastic flow localization process, with each pattern type corresponding to a definite type of autowave. Propagation velocity, dispersion and grain size dependence of wavelength have been determined experimentally for the phase autowave. An elastic-plastic strain invariant has also been introduced to relate the elastic and plastic properties of the deforming medium. It is found that the autowave’s characteristics follow directly from the latter invariant. A hypothetic quasi-particle has been introduced which correlates with the localized plasticity autowave; the probable properties of the quasi-particle have been estimated. Taking the quasi-particle approach, the characteristics of the plastic flow localization process are considered herein.

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5

Lemström, Kjell, Gonzalo Navarro, and Yoan Pinzon. "Bit-Parallel Branch and Bound Algorithm for Transposition Invariant LCS." In String Processing and Information Retrieval. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30213-1_10.

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Nishida, Hirobumi. "Robust Structural Indexing through Quasi-Invariant Shape Signatures and Feature Generation." In Pattern Recognition and String Matching. Springer US, 2003. http://dx.doi.org/10.1007/978-1-4613-0231-5_21.

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7

Dean, Aamir, José Reinoso, Shahab Sahraee, Benedikt Daum, and Raimund Rolfes. "Invariant-Based Finite Strain Anisotropic Material Model for Fiber-Reinforced Composites." In Multiscale Modeling of Heterogeneous Structures. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65463-8_5.

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8

šilhavý, M. "Rank 1 Convex Hulls of SO(n)-Invariant Functions." In IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0297-3_2.

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Lemström, Kjell, and Gonzalo Navarro. "Flexible and Efficient Bit-Parallel Techniques for Transposition Invariant Approximate Matching in Music Retrieval." In String Processing and Information Retrieval. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39984-1_17.

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Verstappen, Roel. "An eddy-viscosity model based on the invariants of the rate-of-strain tensor." In ERCOFTAC Series. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-2482-2_14.

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Conference papers on the topic "Strain invariance"

1

Rachev, Alexander, Tarek ElShazly, and David N. Ku. "Constitutive Formulation of the Mechanical Properties of Synthetic Hydrogels." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59795.

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This study attempts to define a universal description of the constitutive formulation of mechanical properties of synthetic hydrogels that can be manufactured as load-bearing structures to replace diseased or damaged soft tissues. While the strain energy density function (SEF) describing the elastic properties of a soft tissue generally depends on two invariants, we propose a SEF that depends on only the first strain invariant. This allows quantifying the SEF from data of a uniaxial extension test. The single invariant SEF was used to predict the mechanical response of a thick-walled tube infl

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2

Okamoto, Ruth J., Yuan Feng, Guy M. Genin, and Philip V. Bayly. "Anisotropic Behavior of White Matter in Shear and Implications for Transversely Isotropic Models." In ASME 2013 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/sbc2013-14039.

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Experimental studies [1] have shown that white matter (WM) in the brain is mechanically anisotropic. Based on its fibrous structure, transversely isotropic (TI) material models have been suggested to capture WM behavior. TI hyperelastic material models involve strain energy density functions that depend on the I4 and I5 pseudo-invariants of the Cauchy-Green strain tensor to account for the effects of stiff fibers. The pseudo-invariant I4 is the square of the stretch ratio in the fiber direction; I5 contains contributions of shear strain in planes parallel to the fiber axis. Most, if not all, p

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Sako, Akifumi. "Noncommutative-shift invariant field theory." In STRING THEORY; 10th Tohwa University International Symposium on String Theory. AIP, 2002. http://dx.doi.org/10.1063/1.1454402.

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Aluko, O. "Teaching Stress Transformation Through Laboratory Experiments." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63956.

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This paper describes a hands-on laboratory solid mechanics project which was supervised as an independent study. The experimental study and analysis were focused on strain and stress transformation on cantilever beam subjected to bending within elastic range. A combination of five different metals and two types strain rosette arrangements were used in the experimentation. The project involves the design and construction of test facility and experimental analysis of tested piece. The samples of measured data and analysis are reported in this paper. The strains in rectangular and principal coord

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Gosse, Jon, and Stephen Christensen. "Strain invariant failure criteria for polymers in composite materials." In 19th AIAA Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-1184.

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Liu, M. "Subsea Pipeline Lateral Buckling Design: Strain Concentration or Strain Reduction Factors." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61200.

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Strain based design is normally applied for HPHT pipelines when the conventional stress based method becomes impractical. In addition to a design safety factor, a strain concentration factor is typically incorporated in the lateral buckling assessment to account for non-uniform stiffness or plastic bending moment due to geometry and material strength mismatch between adjacent pipe joints. Increased strain concentration can compromise pipeline low cycle fatigue and lateral buckling capacity, leading to an early onset of local buckling failure. In this paper, the philosophy of local buckling mit

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SINGER, I. M. "THE η-INVARIANT AND THE INDEX". У Proceedings of the Conference on Mathematical Aspects of String Theory. WORLD SCIENTIFIC, 1987. http://dx.doi.org/10.1142/9789812798411_0012.

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Jin-Shuo Mei, Qun Wu, Kuang Zhang, Jian Wu, and Le-Wei Li. "Complementary medium cylindrical cloak with spatially invariant axial material parameters." In 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC). IEEE, 2011. http://dx.doi.org/10.1109/csqrwc.2011.6036905.

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Azeloglu, Evren U., Glenn R. Gaudette, Irvin B. Krukenkamp, and Fu-Pen Chiang. "Determination of the Regional Function of the Heart." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1528.

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Unlike many other engineering designs, the heart, a pressure vessel, shows variations within its chambers and surface in terms of mechanical function. This necessitates a whole field technique with high spatial resolution. Computer aided speckle interferometry (CASI), a nondestructive examination technique, is herein developed for this purpose. A speckle pattern was created on the surface of isolated rabbit hearts. Images of the beating hearts werc acquired with a charge-couple device (CCD) camera for one second at a rate of 50 frames per second. CASI was used to determine the 2-D displacement

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Goyal, Vijay, Cesar Garcia, and Emmanuel Irizarry. "Micro Damage Initiation of Isotropic and Composites Structures Using Strain Invariant Failure Theory." In 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-0983.

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Reports on the topic "Strain invariance"

1

Lewis, Matthew W. Numerical Implementation of an Invariant-Based Model for Foamed Elastomers with Strain Softening and Nonlinear Time Dependent Response. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1469496.

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2

Ahn, Changrim. Two Aspects of One Loop Structure: Unitarity Delay in the Standard Model and Modular Invariance in String Theory. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/1454052.

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Ahn, C. Two aspects of one loop structure: Unitarity delay in the Standard Model and modular invariance in string theory. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5580440.

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