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Reflection of hygrothermal waves in a Nonlocal Theory of coupled thermo-elasticity

Mechanics of Advanced Materials and Structures, 2022
The investigation of the reflection issue in a hygrothermal medium in nonlocal elasticity is the focus of the current research project. The velocity equation is created by formulating and solving the governing equations of a hygro-thermoelastic material.
Dr. Anand Kumar Kumar Yadav   +3 more
semanticscholar   +1 more source

The Biharmonic Problem in the Theory of Elasticity

, 2020
Homogeneous solutions for the biharmonic problem method of solution for the biharmonic problem of mathematical physics plane problem of the theory of elasticity in cartesian co-ordinates plane problem of the theory of elasticity in polar co-ordinates ...
S. Lurie, V. Vasiliev
semanticscholar   +1 more source

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
openaire   +1 more source

Generalized elasticity theory of quasicrystals

Physical Review B, 1993
The classical theory of elasticity describing three- and lower-dimensional systems is generalized to higher-dimensional spaces. The elastic properties of quasicrystals can be derived from this theory, appropriately. The practical application is given to pentagonal, octagonal, dodecagonal, and icosahedral quasicrystals. The explicit form is obtained for
, Ding, , Yang, , Hu, , Wang
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Microscopic theory of rubber elasticity

The Journal of Chemical Physics, 2004
A microscopic integral equation theory of elasticity in polymer liquids and networks is developed which addresses the nonclassical problem of the consequences of interchain repulsive interactions and packing correlations on mechanical response. The theory predicts strain induced softening, and a nonclassical intermolecular contribution to the linear ...
Folusho T, Oyerokun   +1 more
openaire   +2 more sources

Nonlinear Theory of Elastic Surfaces

Journal of Mathematical Physics, 1966
The present paper develops a nonlinear theory for the deformation of an elastic surface by assuming the existence of a strain energy function and postulating a principle of virtual work which governs its mechanical behavior. By considering the strain energy function to depend on the first- and second-order deformation gradients, the field equations and
Cohen, H., DeSilva, C. N.
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Theory of finite elastic consolidation

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1977
Presented in this paper is a general theory describing the consolidation of a porous elastic soil. The formulation allows for the occurrence of finite geometry changes and finite elastic strains during the consolidation process. The governing equations have been cast in a rate form and the laws which determine deformation and pore fluid flow, i.e ...
Carter, J. P.   +2 more
openaire   +1 more source

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.
openaire   +1 more source

The two-dimensional adhesive contact problem in the theory of couple stress elasticity

Journal of Adhesion Science and Technology, 2019
The adhesive contact problem of a half-space indented by a rigid cylindrical punch in the theory of couple-stress elasticity is investigated. Both the size effect and adhesion are considered to analyze the two-dimensional frictionless contact problem ...
Peixing Li, Tie-Jun Liu
semanticscholar   +1 more source

Elasticity Theory of Plates and a Refined Theory

Journal of Applied Mechanics, 1979
A method for the solution of three-dimensional elasticity equations is presented and is applied to the problem of thick plates. Through this method three governing differential equations, the well-known biharmonic equation, a shear equation and a third governing equation, are deduced directly and systematically from Navier’s equations. It is then shown
openaire   +1 more source

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