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Theory of elasticity

2021
This chapter contains the basics of the theory of elasticity of three-dimensional anisotropic bodies which are essential for the understanding of the further contents of this book as well as of all further planned volumes of this book series. Even though this chapter is quite extensive we will limit ourselves to absolutely essential and indispensable ...
Islam S.M. Khalil   +2 more
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Theory of epithelial elasticity

Physical Review E, 2015
We propose an elastic theory of epithelial monolayers based on a two-dimensional discrete model of dropletlike cells characterized by differential surface tensions of their apical, basal, and lateral sides. We show that the effective tissue bending modulus depends on the apicobasal differential tension and changes sign at the transition from the flat ...
Matej, Krajnc, Primož, Ziherl
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THEORY OF SPACETIME ELASTICITY

International Journal of Modern Physics B, 2012
We present the theory of spacetime elasticity and demonstrate that it involves traditional thermoelasticity. Assuming linear-elastic constitutive behavior and using spacetime transversely-isotropic elastic constants, we derive all principal thermodynamic relations of classical thermoelasticity. We introduce the spacetime principle of virtual work, and
Gusev, Andrei A., Lurie, Sergey A.
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Nonlinear Elastic Shell Theory

1983
The aim of this monograph is to unify, simplify and extend a number of results that have appeared in the last 20 years in the field of nonlinear-shell-theories. Authors adopt a mixed approach by using integral equations of motion and thermodynamics of a three-dimensional body taken over its reference shape.
Libai, A., Simmonds, J. G.
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Theory of Elasticity

2005
Stress Tensor.- Deformation of a Continuum.- The Constitutive Laws of the Linear Theory of Elasticity.- Governing Relationships in the Linear Theory of Elasticity.- Three-dimensional Problems in the Theory of Elasticity.- Saint-Venant's Problem.- The Plane Problem of the Theory of Elasticity.- Constitutive Laws for Nonlinear Elastic Bodies.- Problems ...
A. I. Lurie, Alexander Belyaev
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Finite Elasticity Theory

2017
This book is suitable for a first-year graduate course on Non-linear Elasticity Theory. It is aimed at graduate students, post-doctoral fellows and researchers working in Mechanics. Included is a modern treatment of elementary plasticity theory emphasizing the foundational role played by finite elasticity.
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Theory of Elasticity

1976
An inspection of the mechanical laws described in the last chapter reveals one scalar equation expressing the conservation of mass, three scalar equations expressing the balance of linear momentum, and three scalar equations expressing the balance of angular momentum, thus giving a total of seven equations in all.
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Elastic scattering theory

2009
Abstract In this chapter we shall discuss in an elementary fashion the problem of elastic scattering in quantum mechanics. Several approximation methods specific to scattering problems are discussed. Some of the issues have been discussed in connection with particular approximation schemes (perturbation theory, the semi-classcal ...
Kenichi Konishi, Giampiero Paffuti
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Multimodulus elasticity theory

Journal of Applied Mechanics and Technical Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theory of orientational elasticity

Physical Review E, 1994
, Stallinga, , Vertogen
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