An Extension of the Domain of Influence Theorem for Generalized Thermoelasticity of Anisotropic Material with Voids

被引:89
作者
Marin, M. [1 ]
Othman, Mohamed I. A. [2 ,3 ]
Abbas, Ibrahim A. [4 ,5 ]
机构
[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov, Romania
[2] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
[3] Taif Univ, Dept Math, Fac Sci, At Taif 888, Saudi Arabia
[4] King Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
[5] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt
基金
美国国家科学基金会;
关键词
Influence Theorem; Generalized Thermoelasticity; Anisotropic Material; Voids; Lord-Shulman; Green-Lindsay; THERMAL SOURCE; ELASTIC-MATERIALS; HALF-SPACE; DIPOLAR BODIES; DEFORMATION; ENERGY; MEDIA;
D O I
10.1166/jctn.2015.3934
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The domain of influence theorem is extended to cover the generalized thermoelasticity of anisotropic bodies with voids in the context of Lord-Shulman and Green-Lindsay theories. We prove that for a finite time t > 0 the displacement field u(l), the change in volume fraction phi and the temperature T generate no disturbance outside a bounded domain B-t.
引用
收藏
页码:1594 / 1598
页数:5
相关论文
共 28 条
[1]  
Abbas I. A., J COMPUT TH IN PRESS
[2]   Response of Thermal Source in Initially Stressed Generalized Thermoelastic Half-Space with Voids [J].
Abbas, Ibrahim A. ;
Kumar, Rajneesh .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (06) :1472-1479
[3]   The Effect of Rotation and Initial Stress on Thermal Shock Problem for a Fiber-Reinforced Anisotropic Half-Space Using Green-Naghdi Theory [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (02) :331-338
[4]   Deformation Due to Thermal Source in Micropolar Generalized Thermoelastic Half-Space by Finite Element Method [J].
Abbas, Ibrahim A. ;
Kunnar, Rajneesh .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (01) :185-190
[5]   Two-Temperature Generalized Thermoelastic Interaction in an Infinite Fiber-Reinforced Anisotropic Plate Containing a Circular Cavity with Two Relaxation Times [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (01) :1-7
[6]  
Bose P.K., 2012, Quant Matter, V1, P89, DOI 10.1166/qm.2012.1009
[7]   ENERGY INEQUALITIES AND THE DOMAIN OF INFLUENCE THEOREM IN CLASSICAL ELASTODYNAMICS [J].
CARBONARO, B ;
RUSSO, R .
JOURNAL OF ELASTICITY, 1984, 14 (02) :163-174
[8]   ON UNIQUENESS AND RECIPROCITY IN LINEAR THERMOELASTICITY OF MATERIALS WITH VOIDS [J].
CIARLETTA, M ;
SCALIA, A .
JOURNAL OF ELASTICITY, 1993, 32 (01) :1-17
[9]  
COWIN SC, 1983, J ELASTICITY, V13, P125, DOI 10.1007/BF00041230
[10]  
Green A. E., 1972, J. Elasticity, V2, P1, DOI [10.1007/BF00045689, DOI 10.1007/BF00045689, DOI 10.1093/QJMAM/25.1.1]