Journal ArticleDOI
Theory of nonlocal generalised thermoelasticity
Fikret Balta,Erdoǧan S. Şuhubi +1 more
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In this paper, the theory of nonlocal generalised thermoelasticity is developed within the framework of the nonlocal continuum mechanics, and the constitutive relations are linearised and field equations are provided for homogeneous isotropic solids.About:
This article is published in International Journal of Engineering Science.The article was published on 1977-01-01. It has received 41 citations till now. The article focuses on the topics: Continuum mechanics.read more
Citations
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A temperature-rate-dependent theory of thermopiezoelectricity
TL;DR: In this article, a temperature-rate-dependent thermopiezoelectricity theory which predicts a finite speed of propagation of thermal signals is presented, where a uniqueness theorem for solutions, a variational principle of Hamilton-type, and a reciprocal theorem are deduced in the context of linearized theory.
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On the nonlocal aspects of the propagation of Love waves
TL;DR: In this paper, the propagation of Love waves in an isotropic homogeneous elastic medium is analyzed in the context of the linear theory of nonlocal continuum mechanics, and the lower bound for the speed of Love wave predicted by the nonlocal theory agrees better with the seismological observations of such waves than its counterpart furnished by the conventional theory.
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Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models
TL;DR: In this paper, a new model based on the Cattaneo-Vernotte law for heat conduction is proposed for phase transitions and hysteresis phenomena in materials with memory.
Journal ArticleDOI
Uniqueness in generalized nonlocal thermoelasticity
Jun Wang,Ranjit S. Dhaliwal +1 more
TL;DR: A work and energy equation for generalized nonlocal thermoelasticity was derived in this paper, and it was proved that the associated initial-boundary value problem has a unique solution.
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Reflection of plane waves from the stress-free isothermal and insulated boundaries of a nonlocal thermoelastic solid
TL;DR: In this paper, the generalized thermoelasticity theory based upon the Green and Naghdi model II of thermo-lasticity as well as the Eringen's non-local elasticity model is used to study the propagation of harmonic plane waves in a nonlocal thermelastic medium.
References
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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.
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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.
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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.
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Nonlocal continuum mechanics
TL;DR: In this paper, the conservation laws of nonlocal continuum mechanics are derived from the conservation of energy and the invariance conditions under superposed rigid body motions, and the theory of non-local thermoelasticity is reconsidered in the light of recent developments in thermodynamics.