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Relevant bibliographies by topics / Path independent integrals

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Academic literature on the topic 'Path independent integrals'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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Journal articles on the topic "Path independent integrals"

1

Tsamasphyros, George. "Path-independent integrals in anisotropic media." International Journal of Fracture 40, no. 3 (1989): 203–19. http://dx.doi.org/10.1007/bf00960600.

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Song, Hai Yan, Jian Sheng Zhou, and Zong Min Liu. "The Conservation Laws and Path-Independent Integrals for Piezo-Magnetic Media." Key Engineering Materials 525-526 (November 2012): 301–4. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.301.

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Path-independent integrals have important application value in dislocation, fracture mechanics and other defects theories. Motivated by concepts of Jacobi integral and cyclic integral in analytical mechanics and energy-momentum tensor in electro-magntic field, the conservation laws and path-independent integrals for piezo-magnetic media are derived in this paper.

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Tian-Min, Dai. "Some path independent integrals for micropolar media." International Journal of Solids and Structures 22, no. 7 (1986): 729–35. http://dx.doi.org/10.1016/0020-7683(86)90117-4.

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Zhang, Min, Jianmin Qu, and James R. Rice. "Path independent integrals in equilibrium electro-chemo-elasticity." Journal of the Mechanics and Physics of Solids 107 (October 2017): 525–41. http://dx.doi.org/10.1016/j.jmps.2017.07.001.

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Soare, M. A., and R. C. Picu †. "Singular field decomposition based on path-independent integrals." Philosophical Magazine 84, no. 28 (2004): 2979–3009. http://dx.doi.org/10.1080/14786430410001716809.

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Yu, Pengfei, Jianyong Chen, Hailong Wang, Xu Liang, and Shengping Shen. "Path-independent integrals in electrochemomechanical systems with flexoelectricity." International Journal of Solids and Structures 147 (August 2018): 20–28. http://dx.doi.org/10.1016/j.ijsolstr.2018.04.006.

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NISHIOKA, Toshihisa, and Mineo KOBASHI. "Path independent integrals in nonlinear dynamic fracture mechanics." Transactions of the Japan Society of Mechanical Engineers Series A 53, no. 486 (1987): 271–77. http://dx.doi.org/10.1299/kikaia.53.271.

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Kienzler, R., L. Rohde, R. Schröder, and K. Kutz. "Treating mixed-mode problems with path-independent integrals." Engineering Fracture Mechanics 77, no. 18 (2010): 3604–10. http://dx.doi.org/10.1016/j.engfracmech.2010.05.008.

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Nishioka, T., S. Syano, and T. Fujimoto. "Concepts of Separated J-Integrals, Separated Energy Release Rates, and the Component Separation Method of the J-Integral for Interfacial Fracture Mechanics." Journal of Applied Mechanics 70, no. 4 (2003): 505–16. http://dx.doi.org/10.1115/1.1576803.

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First, this paper presents the concepts of separated J-integrals and separated energy release rates. The path-independent separated J-integrals have the physical significance of energy flows into an interfacial crack tip from adjacent individual material sides or, equivalently, separated energy release rates. Thus, the J-integral and the energy release rate can be evaluated by the sum of the path-independent separated J-integrals. Second, the relations between the separated J-integrals and the stress intensity factors are derived. Third, the component separation method of the J-integral is ext

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Wu, Kuang-Chong. "Representations of Stress Intensity Factors by Path-Independent Integrals." Journal of Applied Mechanics 56, no. 4 (1989): 780–85. http://dx.doi.org/10.1115/1.3176171.

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Stress intensity factors are represented by path independent integrals for linear elastic materials. Two types of representation are given. The first type of integrals are expressed by integration over contours surrounding a crack tip. Those of the second type are integrated over contours enclosing a finite crack. The path independent integrals are applied to determine the stress intensity factors due to a body force and a dislocation for a finite crack in an infinite anisotropic body.

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Dissertations / Theses on the topic "Path independent integrals"

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Santos, Neilor Cesar dos. "Análise de problemas de trincas em materiais anisotrópicos usando o método dos elementos finitos: abordagem pela integral Jk." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/18/18135/tde-16022016-115310/.

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Apresenta-se um estudo, por meio do método dos elementos finitos, de problemas quase-estáticos de trincas em materiais anisotrópicos. Os fatores de intensidade de tensão em modo misto de carregamento foram determinados utilizando-se as metodologias da integral Jk, da correlação dos deslocamentos e da integral de fechamento de trinca modificada. Para a integral Jk, foi desenvolvida uma formulação baseada nas leis da conservação da elasto-estática e das integrais independentes do percurso. Na expressão, para a integral J2 levou-se em consideração o termo não singular da representação analítica d

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García, Suárez Antonio Joaquín. "Application of Path-Independent Integrals to Soil-Structure Interaction." Thesis, 2020. https://thesis.library.caltech.edu/13587/9/GarciaSuarez_Joaquin_2019_v1.pdf.

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<p>Assessing seismic pressure increment on buried structures is a critical step in the design of infrastructure in earthquake-prone areas. Due to intrinsic complexities derived from the need to match the solution in the far-field to the localized solution around the structure, the near-field, researchers have aimed at finding simplified models focused on engineering variables as the seismic earth thrust. One such model is the so-called Younan-Veletsos model, which pivots on a stringent assumption on the stress tensor.</p> <p>At the same time, the might of the path-independent integrals of s

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Books on the topic "Path independent integrals"

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Path integrals on group manifolds: The representation independent propagator for general Lie groups. World Scientific, 1998.

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2

A review of path-independent integrals in elastic-plastic fracture mechanics: Task iv interim report. National Aeronautics and Space Administration, Lewis Research Center, 1985.

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Center, Lewis Research, ed. A review of path-independent integrals in elastic-plastic fracture mechanics: Task iv interim report. National Aeronautics and Space Administration, Lewis Research Center, 1985.

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Zinn-Justin, Jean. From Random Walks to Random Matrices. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198787754.001.0001.

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Theoretical physics is a cornerstone of modern physics and provides a foundation for all modern quantitative science. It aims to describe all natural phenomena using mathematical theories and models and, in consequence, develops our understanding of the fundamental nature of the universe. This book offers an overview of major areas covering the recent developments in modern theoretical physics. Each chapter introduces a new key topic, and develops the discussion in a self-contained manner. At the same time, the selected topics have common themes running throughout the book, which connect the i

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Rajeev, S. G. Vector Fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0001.

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The velocity of a fluid at each point of space-time is a vector field (or flow). It is best to think of it in terms of the effect of fluid flow on some scalar field. A vector field is thus a first order partial differential operator, called the material derivative in fluid mechanics. The path of a speck of dust carried along (advected) by the fluid is the integral curve of the velocity field. Even simple vector fields can have quite complicated integral curves: a manifestation of chaos. Of special interest are incompressible (with zero divergence) and irrotational (with zero curl) flows. A fix

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Rapoport-Albert, Ada. Women and the Messianic Heresy of Sabbatai Zevi, 1666 - 1816. Liverpool University Press, 2015. http://dx.doi.org/10.3828/liverpool/9781906764807.001.0001.

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Women are conspicuously absent from the Jewish mystical tradition. The chance survival of scant evidence suggests that, at various times and places, individual Jewish women did pursue the path of mystical piety or prophetic spirituality, but it appears that they were generally censured, and efforts were made to suppress their activities. This contrasts sharply with the fully acknowledged prominence of women in the mystical traditions of both Christianity and Islam. It is against this background that the mystical messianic movement centred on the personality of Sabbatai Zevi (1626–1676) stands

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Book chapters on the topic "Path independent integrals"

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Gdoutos, E. E. "Path Independent Integrals." In Problems of Fracture Mechanics and Fatigue. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2774-7_48.

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Kienzler, R., L. Rohde, and R. Schröder. "On path-independent integrals within the linear theory of elasticity." In Recent Progress in the Mechanics of Defects. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-94-007-0314-8_7.

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Burczyński, T., and M. Habarta. "Boundary and path-independent integrals in sensitivity analysis of voids." In Computational Mechanics ’95. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79654-8_501.

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Gross, D. "Path Independent Integrals and Crack Growth Parameters in Nonlinear Fracture Mechanics." In Nonlinear Fracture Mechanics. Springer Vienna, 1990. http://dx.doi.org/10.1007/978-3-7091-2758-2_3.

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Chang, Ouyang. "On path-independent integrals in fracture dynamics for visco-elastic plastic media." In Progress in Applied Mechanics. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3487-0_23.

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Schapery, R. A. "On some path independent integrals and their use in fracture of nonlinear viscoelastic media." In Non-Linear Fracture. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-017-2444-9_13.

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Chen, Xiaohong. "Path-Independent Integral." In Encyclopedia of Thermal Stresses. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_649.

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Nishioka, T., and S. N. Atluri. "Computational Studies on New Types of Path Independent Integral in Dynamic Fracture Mechanics." In Computational Mechanics ’86. Springer Japan, 1986. http://dx.doi.org/10.1007/978-4-431-68042-0_183.

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Yosibash, Zohar. "A Path-Independent Integral and Orthogonality of Eigenfunctions for General Scalar Elliptic Equations in 2-D Domains." In Interdisciplinary Applied Mathematics. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-1508-4_19.

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"CLASSICAL LIMIT OF THE REPRESENTATION INDEPENDENT PROPAGATOR." In Path Integrals on Group Manifolds. WORLD SCIENTIFIC, 1998. http://dx.doi.org/10.1142/9789812816597_0006.

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Conference papers on the topic "Path independent integrals"

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NAKAGAKI, M., F. BRUST, and S. ATLURI. "Path independent integrals for a crack in thermally nonhomogeneous body." In 26th Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 1985. http://dx.doi.org/10.2514/6.1985-668.

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Zhu, Xian-Kui, and Tom McGaughy. "Effects of Finite Strains and Residual Stresses on Path Independence of the J-Integral for Ductile Cracks." In ASME 2017 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/pvp2017-65407.

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Large plastic deformation and residual stresses exist in mechanical damages to pipelines. If a crack occurs in the damages, residual stresses will affect mechanics behavior of the crack and path independence of the J-integral, and so the J-integral may lose capacity to describe fracture driving force. This paper theoretically investigates basic conditions required for the path independence of the J-integral and major factors affecting the path independence, including the incremental plasticity, finite strains and residual stresses. Residual stress modified J-integrals are then introduced for e

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Rajesh, K. N., and B. N. Rao. "Coupled EFGM and F2LFEM for Fracture Analysis of Cracks." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77190.

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This paper presents a coupling technique for integrating the element–free Galerkin method (EFGM) with fractal two-level finite element method (F2LFEM) for analyzing homogeneous, isotropic, and two dimensional linear–elastic cracked structures subjected to mixed–mode (modes I and II) loading conditions. F2LFEM is adopted for discretization of domain close to the crack tip and EFGM is adopted in the rest of the domain. In the transition region interface elements are employed. The shape functions within interface elements which comprises both the element–free Galerkin and the finite element shape

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Arai, Koichiro, Hiroshi Okada, and Yasunori Yusa. "Formulation of Three-Dimensional J-Integral for Finite Strain Elastic-Plastic Fracture Problems Under Any Load Histories (Monotonic and Cyclic Loads)." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84241.

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In this paper, a redefined three-dimensional J-integral for the quadratic tetrahedral element along with some numerical examples are presented. It is known that the J-integral represents the energy release rate and can be computed on an arbitrary path or a domain of integration. This feature is called the “path-independent property”. It requires the assumption of proportional loading in the case of elastic-plastic material. Because of this assumption, when the J-integral is applied to a problem under a non-proportional loading condition, the computed J-integral value depends on the integral pa

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Zhu, Xian-Kui. "Determination of Path-Independent J-Integral for Cracks in Residual Stress Fields Using Finite Element Method." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-45712.

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“Hot” residual stresses exist in metal welds due to welding thermal stresses, and “cold” residual stresses occur in mechanical damaged metallic pipes due to large plastic deformation. For a crack in ether a hot or cold residual stress field, residual stresses might have a strong effect on the crack-tip field and the fracture parameter, J-integral. To consider the effect of residual stresses and to ensure the path-independence of J, different correction methods have been developed over the years. Recently, the finite element analysis (FEA) commercial software ABAQUS adopted one of correction me

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Ershov, Sergey, Alexey Voloboy, Dmitriy Zhdanov, and Andrey Zhdanov. "Calculation of MIS Weights for Bidirectional Path Tracing with Photon Maps." In International Conference "Computing for Physics and Technology - CPT2020". Bryansk State Technical University, 2020. http://dx.doi.org/10.30987/conferencearticle_5fce2770c2a855.82436756.

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A widely used method for noise reduction in Monte-Carlo ray tracing is combing different means of sampling, known as multiple importance sampling (MIS). For bi-directional Monte-Carlo ray tracing with photon maps (BDPM), the join paths are obtained by merging camera and light sub-paths, and since several light paths are checked again the same camera path, and vice versa, the join paths obtained are not statistically independent. Thus the noise in this method obeys laws different from those in simple classic Monte-Carlo with independent samples so the weights that minimize that noise must also

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Zhu, Xian-Kui. "Numerical Calculation of Residual Stress Corrected J-Integral Using ABAQUS." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-24282.

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Residual stresses exist in welded structures due to thermal stresses. Without temperature change, large plastic deformation can result in “cold” residual stresses in a wrinkle or dent in a metallic pipe. For a crack in residual stress field, residual stresses might have strong effect on fracture parameter, the J-integral. In order to ensure its path-independence, different correction methods have been developed in consideration of residual stress effect. Recently, the finite element commercial software ABAQUS adopted one of the correction methods, and is able to calculate the residual stress c

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Funai, Madoka, Osamu Watanabe, and Akihiro Matsuda. "Inelastic FE Analysis for J-Integral of Center-Cracked Plate in Creep-Fatigue Range." In ASME 2014 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/pvp2014-28605.

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In order to estimate crack growth rate, it is necessary to use increments of the J-integral for both of time-independent fatigue process and time-dependent creep process. Many researchers and methodologies use C* to characterize creep crack growth and ΔJ or ΔK for fatigue crack growth, suggested are the following Refs.[1,2] This paper shows the fundamental features of J-integral in elastic, plastic and creep range. The path dependency is studied for center-cracked plate by using path integral from the large path to the small path near crack tip. The inelastic FE analysis is carried out for cre

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Baxevanis, Theocharis, Yves Chemisky, and Dimitris Lagoudas. "On the Path-Dependency of the J-Integral in a Pseudoelastic Shape Memory Alloy." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5004.

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Detailed finite-element calculations are carried out to examine the path-dependence of the J-integral in a pseudoelastic Shape Memory Alloy (SMA) for mode I loading under the approximation of linear kinematics. The evolution equation for the transformation strain is consistent with the classical rate-independent J2 flow theory. The small-scale nonlinearity assumption is employed using a boundary layer approach, wherein the actual boundary conditions have been replaced by the requirement of an asymptotic approach to the linear elastic inverse-square-root stress/strain distribution at large dist

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Laxmiprasad, Putta, and Sanjay Sarma. "A Feature Free Approach to 5-Axis Tool Path Generation." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dfm-4325.

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Abstract In recent years, CAD/CAM integration for machining has been based on the concept of manufacturing features. In this paper we present an overview of an alternative scheme to integrate CAD with CAM. Instead of decomposing the design into manufacturing features, we generate tool paths directly from the shape of the workpiece using visibility and accessibility arguments. This approach builds on the work of a number of previous efforts to bring concepts from robotic path planning into the realm of NC planning. We present a hardware approach for computing visibility rapidly. This informatio

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