Applied theories of thermoelasticity of micropolar thin beams

被引:4
作者
Aslanyan, Naira S. [1 ]
Sargsyan, Samvel H. [1 ]
机构
[1] Shirak State Univ, Dept Math & Phys, P Sevak 4, Guymri 3126, Armenia
关键词
Applied theory; constrained rotation; effective properties; free rotation; micropolar beam; reduced model; thermoelasticity; ELASTICITY; SHELLS;
D O I
10.1080/01495739.2018.1426066
中图分类号
O414.1 [热力学];
学科分类号
摘要
In the present article, a system of rather general hypotheses is developed, on the basis of which with the account of transverse shears the applied theories of thermoelasticity of bending of micropolar thin beams are introduced: (a) With free fields of displacements and rotations; (b) with constrained rotation; (c) the reduced model. On the basis of the constructed models, specific problems of thermoelastic bending of micropolar beams are studied. Numerical analysis of the studied problems states the effectiveness of the micropolar material from the point of view of the beam rigidity compared with that of the classical case.
引用
收藏
页码:687 / 705
页数:19
相关论文
共 20 条
[1]  
[Anonymous], 2012, THEORY THERMAL STRES
[2]  
[Anonymous], 1986, Theory of asymmetric elasticity
[3]  
Carrera E., 2016, THERMAL STRESSES ANA
[4]   A theory of micropolar thermoelasticity without energy dissipation [J].
Ciarletta, M .
JOURNAL OF THERMAL STRESSES, 1999, 22 (06) :581-594
[5]  
Eslami M., 2013, THEORY ELASTICITY TH
[6]  
Hetnarski R.B., 2009, Thermal Stresses-Advanced Theory and Applications
[7]  
Iesan D, 2004, Thermoelastic models of continua, V118
[8]   On weak solutions in elasticity of dipolar bodies with voids [J].
Marin, M .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 82 (1-2) :291-297
[9]   On vibrations in thermoelasticity without energy dissipation for micropolar bodies [J].
Marin, Marin ;
Baleanu, Dumitru .
BOUNDARY VALUE PROBLEMS, 2016,
[10]   Harmonic Vibrations in Thermoelasticity of Microstretch Materials [J].
Marin, Marin .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2010, 132 (04) :0445011-0445016