Topic
Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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01 Jun 2008
TL;DR: This book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these problems.
Abstract: This book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these problems. Great care has been taken throughout the book to seek a balance between the thermomechanical analysis and numerical techniques. It is suitable for advanced undergraduate and graduate courses in continuum mechanics and engineering. Necessary prerequisites for this text are basic continuum mechanics and thermodynamics. Some elementary knowledge of numerical methods for partial differential equations is also preferable.
75 citations
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TL;DR: In this paper, a dissipative function based on continuum mechanics and irreversible thermodynamics is proposed to represent the irreversible deformation process and a failure criterion is defined by using the dissipative energy density failure criterion.
75 citations
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TL;DR: In this article, basic axioms of the theory of continuous media are employed to obtain the field equations, jump conditions, and constitutive equations of a polar elastic dielectric subject to large deformations and electromagnetic fields.
75 citations
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TL;DR: In this paper, a detailed development of nonlinear thermodynamical theories of rods and shells is discussed using the three dimensional theory of classical continuum mechanics as a starting point, and a portion of the paper supplements and amplifies the previous work on the subject by Green, Laws and Naghdi [1].
75 citations
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TL;DR: In this article, a continuum approach to modeling of high-cycle fatigue is proposed, based on the concepts of a moving endurance surface in the stress space and an evolving damage variable.
75 citations