On the decay of end effects in conduction phenomena: A sandwich strip with imperfect interfaces of low or high conductivity

Abstract

Molecular dynamics study of thermal phenomena in an ultrathin liquid film sheared between solid surfaces: The influence of the crystal plane on energy and momentum transfer at solid-liquid interfaces

An exact solution for thermal stresses in a three-phase composite cylinder under uniform heat flow

“…All the aforementioned studies are limited to a hole or a two-phase composite under thermal loadings. As to the corresponding problems with imperfect interfaces, a three-phase boundary problem with perfect interfaces can be transformed into a two-phase problem with imperfect interface by letting the interphase thickness to zero (Benveniste et al, 1989;Lipton, 1989;Benveniste, 1999;Hashin, 2001;Hashin, 2002). To the authors' knowledge, there is no general analytical solution for the corresponding problem associated with a three-phase composite cylinder.…”

Exact Solutions for Simply Supported and Multilayered Piezothermoelastic Plates with Imperfect Interfaces

“…This kind of simplification of the interface is not enough to reflect various damage occurring on the interface (e.g., debonding, sliding and/or cracking across the interface), and as a result the concept of imperfect interface should be incorporated. Up to now various imperfect interface models have been proposed in the context of heat conduction [10][11][12], dielectricity [13,14] and elasticity [15][16][17][18][19][20].…”

“…For a thermally (or dielectrically) weakly conducting interface [10][11][12][13], the normal heat flux (or the normal electric displacement) is continuous but the temperature (or electric potential) is discontinuous across the interface, the jump in temperature (or electric potential) is proportional to the normal heat flux (or normal electric displacement). For a thermally (or dielectrically) highly conducting interface [11,12,18], the temperature (or electric potential) is continuous across the interface whereas the normal heat flux (or normal electric displacement) has a discontinuity across the interface, which is proportional to a certain differential expression of the temperature (or electric potential). It is not a easy task to address this problem since the interface is imperfect in heat conduction, elasticity and dielectricity.…”

Conductivities of heterogeneous media with graded anisotropic constituents

“…[1][2][3] Many approaches and predictive schemes have been proposed and summarized in articles and textbooks. [4][5][6][7][8][9][10][11][12][13] Recently, the effective conductivities of graded heterogeneous media have been receiving a lot of attention [14][15][16][17][18] due to the increasing interest in functionally graded materials ͑FGMs͒ which have many engineering applications. 19 Many graded materials, such as biological cells, also exist in nature.…”