A semigroup of contractions in elasticity of porous bodies

被引：9
|
作者：
Marin, M. [1 ]
Oechsner, A. [2 ]
Ellahi, R. [3 ,4 ]
Bhatti, M. M. [5 ]
机构：
[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500036, Romania
[2] Esslingen Univ Appl Sci, Fac Mech Engn, D-73728 Esslingen, Germany
[3] IIUI, Dept Math & Stat, Islamabad, Pakistan
[4] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA
[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
CONTINUUM MECHANICS AND THERMODYNAMICS | 2021年 / 33卷 / 05期
关键词：
Equations of evolution; Semigroup; Contractions; Porous bodies; Continuous dependence; DIPOLAR BODIES; CONTINUUM;
D O I：
10.1007/s00161-021-00992-7
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The mixed initial-boundary value problem in the context of elasticity of porous bodies having a dipolar structure is considered. By means of a semigroup of contractions, we can obtain some results regarding the existence and uniqueness of solutions for this mixed problem, after proving the equivalence between this problem and a Cauchy problem attached to an abstract equation of evolution. Also, by means of this Cauchy problem, we deduce two continuous dependence results, regarding the supply terms of the original mixed problem and upon initial data.
引用
收藏
页码：2027 / 2037
页数：11
相关论文
共 50 条
  • [41] Porous fibrous mullite bodies
    Ceramics Dept., National Research Centre, Dokki, Cairo, Egypt
    不详
    不详
    不详
    Am. Ceram. Soc. Bull., 2006, 2 (21-24):
  • [42] DRYING SPHERICAL POROUS BODIES
    SINGH, R
    BARRE, HJ
    HAMDY, MY
    TRANSACTIONS OF THE ASAE, 1972, 15 (02): : 338 - &
  • [43] Structure modeling of porous bodies
    Dudka, BV
    Petrukhin, AV
    Podlasova, IA
    Gnyrya, AI
    Tomrachev, SA
    INDUSTRIAL LABORATORY, 1997, 63 (08): : 485 - 487
  • [44] Influences of repetitive muscle contractions with different modes on tendon elasticity in vivo
    Kubo, K
    Kanehisa, H
    Kawakami, Y
    Fukunaga, T
    JOURNAL OF APPLIED PHYSIOLOGY, 2001, 91 (01) : 277 - 282
  • [45] METHOD FOR MEASURING ELASTICITY CONSTANTS OF CONTACTING SOLID BODIES
    SEMENOVA, VA
    KULAKOV, AI
    MEASUREMENT TECHNIQUES-USSR, 1966, (05): : 686 - &
  • [46] Homogenization of the equations of the Cosserat theory of elasticity of inhomogeneous bodies
    Gorbachev, V. I.
    Emel'yanov, A. N.
    MECHANICS OF SOLIDS, 2014, 49 (01) : 73 - 82
  • [47] DYNAMIC PROBLEM OF THE THEORY OF ELASTICITY FOR BODIES OF CANONICAL FORM
    FRIDMAN, LI
    SOVIET APPLIED MECHANICS, 1987, 23 (12): : 1195 - 1201
  • [48] CONTACT PROBLEM IN THE THEORY OF ELASTICITY FOR CYLINDRICAL BODIES WITH WEAR
    TEPLYI, MI
    SOVIET APPLIED MECHANICS, 1983, 19 (12): : 1124 - 1129
  • [49] Temporally evolutionary equation in elasticity of micropolar bodies with voids
    Marin, M.
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 60 (03): : 3 - 12
  • [50] CONTACT PROBLEM OF ELASTICITY THEORY FOR BODIES WITH CRACKS.
    Kudish, I.I.
    1600, (50):
12345