Explicit solution of one boundary value problem of thermoelasticity for a circle with diffusion, microtemperatures, and microconcentrations

被引：5

作者：

Bitsadze, Lamara ^{[1
]}

机构：

[1] Tbilisi State Univ, I Vekua Inst Appl Math Iv Javakhishvili, 2 Univ St, GE-0186 Tbilisi, Georgia

来源：

ACTA MECHANICA | 2020年 / 231卷 / 09期

关键词：

74G05; 74F10; 74F05; 74F99; DIRICHLET BVP;

D O I：

10.1007/s00707-020-02729-0

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the present paper, an explicit solution of the Dirichlet BVP for an isotropic circle with diffusion, microtemperatures, and microconcentrations is presented. The general solution of the system of equations for isotropic materials with diffusion, microtemperatures, and microconcentrations by means of elementary (harmonic, bi-harmonic, and meta-harmonic) functions is constructed. The obtained solution of the Dirichlet BVP is presented as absolutely and uniformly convergent series.

引用

页码：3551 / 3563

页数：13

共 50 条

[1] Explicit solution of one boundary value problem of thermoelasticity for a circle with diffusion, microtemperatures, and microconcentrations
Lamara Bitsadze
[J]. Acta Mechanica, 2020, 231 : 3551 - 3563
[2] BOUNDARY VALUE PROBLEMS OF THERMOELASTIC DIFFUSION THEORY WITH MICROTEMPERATURES AND MICROCONCENTRATIONS
Giorgashvili, Levan
Zazashvili, Shota
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2020, 174 (03) : 277 - 302
[3] A thermoelastic problem with diffusion, microtemperatures, and microconcentrations
Noelia Bazarra
Marco Campo
José R. Fernández
[J]. Acta Mechanica, 2019, 230 : 31 - 48
[4] A thermoelastic problem with diffusion, microtemperatures, and microconcentrations
Bazarra, Noelia
Campo, Marco
Fernandez, Jose R.
[J]. ACTA MECHANICA, 2019, 230 (01) : 31 - 48
[5] Explicit solutions of the BVPs of the theory of thermoelasticity for an elastic circle with voids and microtemperatures
Bitsadze, Lamara
[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2020, 100 (10):
[6] Explicit Solutions of Boundary-Value Problems of Thermoelasticity with Microtemperatures for a Half-Space
Giorgashvili L.
Burchuladze D.
Skhvitaridze K.
[J]. Journal of Mathematical Sciences, 2016, 216 (4) : 538 - 546
[7] THE EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR ONE INITIAL BOUNDARY-VALUE PROBLEM OF THE THERMOELASTICITY
MAKSUDOV, FG
LEONOV, KJ
[J]. DOKLADY AKADEMII NAUK SSSR, 1986, 287 (06): : 1310 - 1312
[8] Boundary value problems of statics of thermoelasticity of bodies with microstructure and microtemperatures
Giorgashvili, L.
Zazashvili, S.
[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2018, 172 (01) : 30 - 57
[9] Some basic boundary value problems of the plane thermoelasticity with microtemperatures
Bitsadze, L.
Jaiani, George
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (08) : 956 - 966
[10] Boundary value problems of stationary oscillation of thermoelasticity of microstretch materials with microtemperatures
Giorgashvili, Levan
Jaghmaidze, Aslan
Karseladze, Giorgi
Sadunishvili, Guram
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (01) : 57 - 70

← 1 2 3 4 5 →