A dipolar structure in the heat-flux dependent thermoelasticity
Source abstract
Abstract
Our study is concerned with the mixed initial-boundary value problem for a dipolar body in the context of a heat-flux dependent theory for the dipolar thermoelastic bodies. We take into account a set of independent constitutive variables including the heat flux vector. Also, the set of basic equations which govern the behavior of such a body is completed by including an equation of evolution for the components of this vector. The uniqueness result, regarding the solution of the mixed problem, which concludes our study assures the consistency of the constructed theory.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Elasticity and Wave Propagation · Elasticity and Material Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics and Computer Science, Transilvania University of Brasov 1 , 500093 Brasov, Romania
Department of Mechanical Engineering, Transilvania University of Brasov 2 , 500093 Brasov, Romania
Funding
no funds · without funds
References (20)
Show source-provided references
1. Re-examination of the basic postulates of thermomechanics10.1098/rspa.1991.0012 ↗
2. On undamped heat wave in elastic solids10.1080/01495739208946136 ↗
3. Thermoelasticity without energy dissipation
4. On a thermoelastic three-phase-lag model10.1080/01495730601130919 ↗
5. Theory of thermo-microstretch elastic solids10.1016/0020-7225(90)90076-u ↗
6. 1999
7. 1993
8. Weak solutions in elasticity of dipolar porous materials10.1155/2008/158908 ↗
9. An approach of a heat-flux dependent theory for micropolar porous media10.1007/s11012-015-0265-2 ↗
10. On vibrations in thermoelasticity without energy dissipation for micropolar bodies10.1186/s13661-016-0620-9 ↗
11. Heat waves
12. Effect of microtemperatures for micropolar thermoelastic bodies10.12989/sem.2017.61.3.381 ↗
13. Micro-structure in linear elasticity10.1007/bf00248490 ↗
14. Multipolar continuum mechanics10.1007/bf00253051 ↗
15. Thermomechanics of the interface between a body and its environment10.1007/s00161-007-0053-x ↗
16. A generalized theory of thermoelasticity
17. A generalized dynamical theory of thermoelasticity10.1016/0022-5096(67)90024-5 ↗
18. On foundations of the Biot’s theory. New interpretation on the basis of the generalized variational principle
19. An alternative Biot’s displacement formulation for porous materials10.1121/1.2734482 ↗
20. A temporally evolutionary equation in elasticity of micropolar bodies with voids