Journal ArticleDOI
Theory of nonlocal thermoelasticity
TLDR
In this paper, a set of constitutive equations for nonlocal thermoelastic solids is developed by means of the nonlocal thermodynamics and the axiom of objectivity.About:
This article is published in International Journal of Engineering Science.The article was published on 1974-12-01. It has received 181 citations till now. The article focuses on the topics: Constitutive equation & Continuum mechanics.read more
Citations
More filters
Book
Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
Journal ArticleDOI
The peridynamic formulation for transient heat conduction
Florin Bobaru,Monchai Duangpanya +1 more
TL;DR: In this article, a peridynamic model for transient heat and mass transfer in fracture-prone bodies is proposed, which is valid when the body undergoes damage or evolving cracks.
Journal ArticleDOI
A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
Florin Bobaru,Monchai Duangpanya +1 more
TL;DR: A multidimensional peridynamic formulation for transient heat-transfer which exists even at sharp corners or when the isotherms are not smooth surfaces and converges to the classical heat transfer equations in the limit of the horizon going to zero.
Journal ArticleDOI
On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection ∗
TL;DR: In this paper, the authors apply the nonlocal elasticity field theory in nanomechanics and an exact variational principal approach to derive the new equilibrium conditions, domain governing differential equation and boundary conditions for bending of nanobeams.
Journal ArticleDOI
Thermoelasticity that uses fractional heat conduction equation
Yuriy Povstenko,Yuriy Povstenko +1 more
TL;DR: A survey of nonlocal generalizations of the Fourier law and heat conduction equation is presented in this article, where more attention is focused on the Heat Conduction with time and space fractional derivatives and on the theory of thermal stresses based on this equation.
References
More filters
Journal ArticleDOI
On nonlocal elasticity
TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.
Journal ArticleDOI
Nonlocal polar elastic continua
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
Journal ArticleDOI
Linear theory of nonlocal elasticity and dispersion of plane waves
TL;DR: In this article, the dispersion relations for one dimensional plane waves were obtained by fitting the nonlocal material moduli to exactly the acoustical branch of elastic waves within one Brillouin zone in periodic one dimensional lattices.
Journal ArticleDOI
A unified theory of thermomechanical materials
TL;DR: In this paper, the authors present an attempt to organize and unify the mechanics, thermodynamics and constitutive equations of nonpolar materials subject to thermal effects and mechanical forces.