Boundary integral equation formulation for the generalized thermoviscoelasticity with one relaxation time

被引：3

作者：

Elhagary, M. A. ^{[1
]}

机构：

[1] Damiatta Univ, Dept Math, Fac Sci, New Damietta, Egypt

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2019年 / 104卷

关键词：

Boundary integral equations; Fundamental solution; Reciprocity theorem; Thermoelasticity; Thermoviscoelasticity; DYNAMIC THERMOVISCOELASTICITY; HALF-SPACE; THERMOELASTICITY; CRACK;

D O I：

10.1016/j.enganabound.2019.03.041

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a formulation of the boundary integral equation method for generalized thermoviscoelasticity with one relaxation time. Fundamental solutions of corresponding differential equations are obtained in Laplace transform domain. A reciprocity theorem is established. The reciprocal relation is used to formulate the boundary integral equations on the basis of our fundamental solutions. Special attention is given to the representation of primary fields, namely temperature and displacements. The initial, mixed boundary value problem is considered as an example illustrating the BIE formulation.

引用

页码：209 / 214

页数：6

共 50 条

[1] Boundary integral equation formulation for the generalized thermoviscoelasticity with two relaxation times
El-Karamany, AS
Ezzat, MA
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (02) : 347 - 362
[2] Boundary integral equation formulation for the generalized micro-polar thermoviscoelasticity
El-Karamany, AS
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2004, 42 (02) : 157 - 186
[3] Boundary integral equation formulation in generalized thermoviscoelasticity with rheological volume and density in material having temperature-dependent properties
El-Karamany, AS
[J]. JOURNAL OF THERMAL STRESSES, 2003, 26 (02) : 123 - 147
[4] State-space formulation to generalized thermoviscoelasticity with thermal relaxation
Ezzat, MA
El-Karamany, AS
Samaan, AA
[J]. JOURNAL OF THERMAL STRESSES, 2001, 24 (09) : 823 - 846
[5] State space approach to two-dimensional generalized thermoviscoelasticity with one relaxation time
Ezzat, MA
Othman, MI
El-Karamany, AS
[J]. JOURNAL OF THERMAL STRESSES, 2002, 25 (03) : 295 - 316
[6] Boundary integral equation formulation for generalized thermoelastic diffusion - Analytical aspects
Semwal, Shweta
Mukhopadhyay, Santwana
[J]. APPLIED MATHEMATICAL MODELLING, 2014, 38 (14) : 3523 - 3537
[7] BOUNDARY INTEGRAL-EQUATION FORMULATION FOR THERMOELASTICITY WITH 2 RELAXATION-TIMES
ANWAR, MN
SHERIEF, HH
[J]. JOURNAL OF THERMAL STRESSES, 1994, 17 (02) : 257 - 270
[8] Analytical aspects in boundary integral equation formulation for the generalized linear micropolar thermoelasticity
El-Karamany, AS
Ezzat, MA
[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2004, 46 (03) : 389 - 409
[9] Velocity-based boundary integral equation formulation in the time domain
Manolis, G. D.
Panagiotopoulos, C. G.
[J]. MESH REDUCTION METHODS: BEM/MRM XXXI, 2009, 49 : 271 - 280
[10] Boundary integral equation formulation in generalized linear thermo-viscoelasticity with rheological volume
El-Karamany, AS
[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2003, 70 (05): : 661 - 667

← 1 2 3 4 5 →