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Theory of Linear Elasticity

2013
In much of this text we shall be concerned with the study of elastic bodies. Accordingly, we shall now present a brief treatment of the theory of elasticity. In developing the theory we shall set forth many concepts that are needed for understanding the variational techniques soon to be presented.
Irving H. Shames, Clive L. Dym
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Bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams using integral form of Eringen\'s non-local elasticity theory

, 2018
The main aim of this paper is to investigate the bending of Euler-Bernouilli nano-beams made of bi-directional functionally graded materials (BDFGMs) using Eringen\'s non-local elasticity theory in the integral form with compare the differential form. To
M. Z. Nejad   +3 more
semanticscholar   +1 more source

Theory of Elasticity

2010
The Three-Dimensional Problem.- The Problem of Saint Venant.- The Two-Dimensional Problems.- The One-Dimensional Problems.- Thermoelasticity.- Stability.- Anisotropy.- Nonlinear Elasticity.
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An elastic theory for rubber

Journal of the Franklin Institute, 1942
Abstract The elastic properties of vulcanized rubber present a difficult problem to generalize, mainly because of the large number of compounds in common use. There are good reasons for many kinds and grades, and a characteristic common to all is large elastic strain.
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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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Size-Dependent Buckling and Postbuckling Analyses of First-Order Shear Deformable Magneto-Electro-Thermo Elastic Nanoplates Based on the Nonlocal Elasticity Theory

, 2017
This paper presents a nonlocal nonlinear first-order shear deformable plate model for investigating the buckling and postbuckling of magneto-electro-thermo elastic (METE) nanoplates under magneto-electro-thermo-mechanical loadings.
R. Ansari, R. Gholami
semanticscholar   +1 more source

On the theory of elastic plates

International Journal of Solids and Structures, 1970
Abstract The isothermal infinitesimal bending theory of isotropic Cosserat surfaces with P directors is developed based on the work of Green et al . Matrix notation presents this theory in a tractable and straightforward manner. Upon restricting the theory to initially plane surfaces, the theory uncouples into extensional and bending portions and a ...
R.C. Koeller, J.W. Provan
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The Classical Theory of Elasticity

1958
The theory of elasticity is concerned with the mechanics of deformable bodies which recover their original shape upon the removal of the forces causing the deformation. The first discussions of elastic phenomena occur in the writings of Hooke (1676) but the first real attempts to construct a theory of elasticity using the continuum approach, in which ...
Ian N. Sneddon, Denis Stanley Berry
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Size-Dependent Nonlinear Vibrations of First-Order Shear Deformable Magneto-Electro-Thermo Elastic Nanoplates Based on the Nonlocal Elasticity Theory

, 2016
This paper deals with the size-dependent geometrically nonlinear free vibration of magneto-electro-thermo elastic (METE) nanoplates using the nonlocal elasticity theory. The mathematical formulation is developed based on the first-order shear deformation
R. Ansari, R. Gholami
semanticscholar   +1 more source

Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM

Mechanics based design of structures and machines, 2020
In this paper, three-dimensional static and free vibration analysis of functionally graded graphene platelets-reinforced composite (FG-GPLRC) truncated conical shells, cylindrical shells and annular plates with various boundary conditions is carried out ...
M. Safarpour, A. Rahimi, A. Alibeigloo
semanticscholar   +1 more source

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