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A new Bernoulli–Euler beam model based on a reformulated strain gradient elasticity theory
, 2020A new non-classical Bernoulli–Euler beam model is developed using a reformulated strain gradient elasticity theory that incorporates both couple stress and strain gradient effects.
G. Zhang, X.-L. Gao
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Theory of epithelial elasticity
Physical Review E, 2015We 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 ...
Primož Ziherl +2 more
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Mechanics based design of structures and machines, 2019
In this article, the nonlinear buckling and postbuckling response of cylindrical nanoshells under radial compressive load is investigated on the basis of a new surface elasticity theory.
S. Sahmani, A. Fattahi, N. Ahmed
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In this article, the nonlinear buckling and postbuckling response of cylindrical nanoshells under radial compressive load is investigated on the basis of a new surface elasticity theory.
S. Sahmani, A. Fattahi, N. Ahmed
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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 K. Belyaev
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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 K. Belyaev
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, 2019
In this article, wave propagation characteristics in magneto-electro-elastic (MEE) nanotube considering shell model is studied in the framework nonlocal theory.
F. Ebrahimi, M. Dehghan, Ali Seyfi
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In this article, wave propagation characteristics in magneto-electro-elastic (MEE) nanotube considering shell model is studied in the framework nonlocal theory.
F. Ebrahimi, M. Dehghan, Ali Seyfi
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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 ...
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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 ...
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Mathematical Theory of Elasticity
Applied Mechanics Reviews, 2004HISTORICAL NOTE, THEORY, EXAMPLES, AND PROBLEMS Creators of the Theory of Elasticity Historical Note: Creators of the Theory of Elasticity Mathematical Preliminaries Vectors and Tensors Scalar, Vector, and Tensor Fields Integral Theorems Fundamentals of Linear Elasticity Kinematics Motion and Equilibrium Constitutive Relations Formulation of Problems ...
Richard B. Hetnarski, Józef Ignaczak
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, 2018
In this work, torsional vibration of nanorods with torsional elastic boundary conditions is presented via non-local elasticity theory. The present model developed based on non-local elasticity theory gives the opportunity to interpret size effect.
M. Yaylı
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In this work, torsional vibration of nanorods with torsional elastic boundary conditions is presented via non-local elasticity theory. The present model developed based on non-local elasticity theory gives the opportunity to interpret size effect.
M. Yaylı
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On the theory of the elasticity of crystals [PDF]
Proceedings of the Indian Academy of Sciences - Section A, 1955 The fundamental aspects of the phenomenological theory of elasticity are critically examined and it is shown that the tensor representation of the elastic strains and stresses in the general case should be in the unsymmetrical form. On this basis, the stress-strain relationships are deduced and tabulated for the different crystal classes. The equations
C. V. Raman, K. S. Viswanathan
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Crowdions in elasticity theory [PDF]
Crystallography Reports, 2009 A crowdion, which is a defect in a crystal structure, is described within the mechanics of continuous linear elastic medium. In the continual approximation, the crowdion is defined, analogously with dislocations, as a singular “carrier” of the plastic deformation of the medium and as a source of elastic deformation.
V. D. Natsik, S. N. Smirnov
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