On uniqueness and dilatational waves in a porous Cosserat thermoelastic body

被引:0
作者
Marin Marin [1 ]
Sorin Vlase [2 ]
Denisa Neagu [3 ]
Lucian Dominte [4 ]
机构
[1] Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov
[2] Academy of Romanian Scientists, Ilfov Street, No. 3, Bucharest
[3] Department of Mechanical Engineering, Transilvania University of Brasov, Brasov
[4] Romanian Academy Technical Sciences, Bucharest
来源
Journal of Umm Al-Qura University for Engineering and Architecture | 2024年 / 15卷 / 2期
关键词
Acceleration waves; Cosserat bodies; Uniqueness of solutions; Voids;
D O I
10.1007/s43995-023-00041-1
中图分类号
学科分类号
摘要
In this paper first we formulate the mixed problem with initial and boundary values in the context of the porous Cosserat thermoelastic bodies micropolar material with voids. WE have included among the independent constitutive variables the derivative with respect to time of the voids (pores) function. Under the conditions in which we imposed average restrictions on the functions used, we formulated and demonstrated the uniqueness of the solution to the mentioned mixed problem and we did a short analysis on the dilatational waves in this kind of media. © The Author(s) 2023.
引用
收藏
页码:61 / 66
页数:5
相关论文
共 24 条
  • [1] Goodman M.A., Cowin S.C., A continuum theory for granular materials, Arch Ration Mech Anal, 44, pp. 249-266, (1972)
  • [2] Cowin S.C., Nunziato J.W., Linear elastic materials with voids, J Elast, 13, pp. 125-147, (1983)
  • [3] Nunziato J.W., Cowin S.C., A nonlinear theory of elastic materials with voids, Arch Ration Mech Anal, 72, pp. 175-201, (1979)
  • [4] Carbonaro B., Russo R., Energy inequalities and the domain of influence theorem in classical elastodynamics, J Elast, 14, pp. 163-174, (1984)
  • [5] Chandrasekharaiah D.S., A uniqueness theorem in the theory of elastic materials with voids, J Elast, 18, pp. 173-179, (1987)
  • [6] Ignaczak J., Carbonaro B., Russo R., Domain of influence theorem in thermoelasticity with one relaxation time, J Therm Stress, 9, pp. 79-91, (1986)
  • [7] Marin M., Et al., On instability in the theory of dipolar bodies with two-temperatures, Carpathian J Math, 38, 2, pp. 459-468, (2022)
  • [8] Marin M., Generalized solutions in elasticity of micropolar bodies with voids, Rev Acad Canar Cienc, 8, 1, pp. 101-106, (1996)
  • [9] Iesan D., A theory of thermoelastic materials with voids, Acta Mech, 60, pp. 67-89, (1986)
  • [10] Vlase S., Et al., Considerations of the transverse vibration of a mechanical system with two identical bars, Proc Inst Mech Eng L J Mater Des Appl, 233, 7, pp. 1318-1323, (2019)