A nonlocal Fourier's law and its application to the heat conduction of one-dimensional and two-dimensional thermal lattices
Reads0
Chats0
TLDR
In this paper, the exact solution of the linear time-dependent spatial difference equation associated with the lattice problem is presented for some given initial and boundary conditions, and an error analysis is conducted for quantifying the efficiency of the nonlocal model to capture the heat transfer behavior of microstructured rods or membranes.About:
This article is published in Comptes Rendus Mecanique.The article was published on 2016-06-01 and is currently open access. It has received 50 citations till now. The article focuses on the topics: Lattice model (physics) & Thermal conduction.read more
Citations
More filters
Journal ArticleDOI
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.
Journal ArticleDOI
Plane waves in nonlocal thermoelastic solid with voids
Nantu Sarkar,Sushil K. Tomar +1 more
TL;DR: In this paper, the propagation of time harmonic plane waves in an infinite nonlocal thermoelastic solid having void pores was studied, and the effects of frequency, void parameters, thermal parameter and nonlocality have been studied numerically on the phase speeds, attenuation coefficients and specific losses of all the propagating waves.
Journal ArticleDOI
Waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity
TL;DR: The main idea of as mentioned in this paper is to extend Eringen's theory of nonlocal elasticity to generalized thermoelasticity with dual-phase-lag and voids.
Journal ArticleDOI
A review of size-dependent continuum mechanics models for micro- and nano-structures
TL;DR: A detailed survey of the most significant literature on continuum mechanics models of micro-nano-structures can be found in this paper , which can orient researchers in their future studies in this field of research.
Journal ArticleDOI
A review of size-dependent continuum mechanics models for micro- and nano-structures
Mir Abbas Roudbari,Mir Abbas Roudbari,Tahereh Doroudgar Jorshari,Chaofeng Lü,Reza Ansari,Abbas Z. Kouzani,Marco Amabili +6 more
TL;DR: A detailed survey of the most significant literature on continuum mechanics models of micro-nano-structures can be found in this article, which can orient researchers in their future studies in this field of research.
References
More filters
Book
Conduction of Heat in Solids
H. S. Carslaw,John Conrad Jaeger +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
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.
Journal ArticleDOI
A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
TL;DR: In this paper, the authors present methods of evaluating numerical solutions of the non-linear partial differential equation to the boundary conditions A, k, q are known constants, where q is the rate of heat generation.
Journal ArticleDOI
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
Book
Extended irreversible thermodynamics
TL;DR: In this paper, the authors propose a theory which goes beyond the classical formulation of thermodynamics by enlarging the space of basic independent variables, through the introduction of non-equilibrium variables, such as the dissipative fluxes appearing in the balance equations.