Journal ArticleDOI
Plane waves in nonlocal micropolar elasticity
TLDR
In this paper, the transverse plane wave dispersion in linear, non-local micropolar elastic solids is derived by equating the frequency of the Transverse Acoustical (TA) branch at the end of the Brillouin zone.About:
This article is published in International Journal of Engineering Science.The article was published on 1984-01-01. It has received 278 citations till now. The article focuses on the topics: Brillouin zone & Dispersion relation.read more
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A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
TL;DR: In this paper, a review aimed at directing the light to research work concerned with bending, buckling, vibrations, and wave propagation of nanobeams modeled according to the nonlocal elasticity theory of Eringen.
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Vistas of nonlocal continuum physics
TL;DR: In this paper, the power and potential of nonlocal field theories in the treatment of microstructural problems are demonstrated and verified. But the main purpose of this paper is to demonstrate the potential of nolocal field theories for the modeling of micro-structural effects on the response of bodies to external stimuli.
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On dislocations in a special class of generalized elasticity
TL;DR: In this article, the connection between gradient theory and nonlocal theory is discussed for elasticity as well as for micropolar elasticity, and Nonsingular solutions for the elastic fields of screw and edge dislocations are given.
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Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer
Mitali Bachher,Nantu Sarkar +1 more
TL;DR: In this paper, a nonlocal theory of generalized thermoelastic materials with voids based on Eringen's nonlocal elasticity and Caputo fractional derivative is established.
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Waves in Nonlocal Elastic Solid with Voids
TL;DR: In this paper, the propagation of time harmonic plane waves is investigated in an infinite nonlocal elastic solid material with voids, and the governing relations and equations are derived for nonlinear elastic solid with void.
References
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Journal ArticleDOI
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
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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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Crack-tip problem in non-local elasticity
TL;DR: In this paper, the displacements and stresses are determined in an elastic plate, weakened by a sharpedged line crack, and the plate is loaded by a uniform tension perpendicular to the line of the crack at infinity.
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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.