MonographDOI
An Introduction to Continuum Mechanics, Second Edition
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TLDR
In this paper, the authors present a model of linearized elasticity and linearized viscoelasticity for heat transfer and stress measures, and show that linearised elasticity is equivalent to heat transfer.Abstract:
1. Introduction 2. Vectors and tensors 3. Kinematics of continua 4. Stress measures 5. Conservation and balance laws 6. Constitutive equations 7. Linearized elasticity 8. Fluid mechanics and heat transfer 9. Linearized viscoelasticity.read more
Citations
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Journal ArticleDOI
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
C.W. Lim,G. Zhang,J. N. Reddy +2 more
TL;DR: In this paper, a higher-order non-local strain gradient elasticity model is proposed, which is based on the nonlocal effects of the strain field and first gradient strain field.
Journal ArticleDOI
Microstructure-dependent couple stress theories of functionally graded beams
TL;DR: In this article, a microstructure-dependent nonlinear Euler-Bernoulli and Timoshenko beam theory was proposed to account for through-thickness power-law variation of a two-constituent material.
Journal ArticleDOI
Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
TL;DR: In this paper, the classical and shear deformation beam and plate theories are reformulated using the nonlocal differential constitutive relations of Eringen and the von Karman nonlinear strains.
Journal ArticleDOI
A nonlinear modified couple stress-based third-order theory of functionally graded plates
J. N. Reddy,Jinseok Kim +1 more
TL;DR: In this paper, a general nonlinear third-order plate theory that accounts for geometric nonlinearity, microstructure-dependent size effects, and two-constituent material variation through the plate thickness is presented using the principle of virtual displacements.
Journal ArticleDOI
A unified integro-differential nonlocal model
Parisa Khodabakhshi,J. N. Reddy +1 more
TL;DR: A unified integro-differential nonlocal elasticity model is presented and its use in the bending analysis of Euler-Bernoulli beams is illustrated in this paper, where the authors show that Eringen nonlocal constitutive relation has a softening effect on the beam, except for the simply supported beam.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Book
Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition
TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Book
Non-Linear Elastic Deformations
TL;DR: In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.