Elastic Potential and Constitutive Inequalities for Isotropic Solids.

被引：0
|
作者：
Berka, Ladislav
机构：
来源：
Stavebnicky Casopis | 1973年 / 21卷 / 6-8期
关键词：
ELASTICITY; -; MECHANICS;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The theoretical study deals with the Green's form of the constitutive equation of an elastic isotropic material if the elastic potential depends on the first invariant of the tensor and on the second and third invariants of the deviator of the deformation. Scalar equations for partial derivatives of elastic potential are derived and solved according to the second and the third invariant of the deviator of the deformation.
引用
收藏
页码：491 / 498
相关论文
共 50 条
  • [21] Nonlinear elastic constitutive modeling of α-Ge
    Sfyris, D.
    Dragatogiannis, D. A.
    Charitidis, C.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2021, 134
  • [22] Constitutive branching in compressible elastic materials
    Lazopoulos, KA
    Markatis, S
    ARCHIVE OF APPLIED MECHANICS, 1996, 66 (04) : 291 - 299
  • [23] Third-rank piezoelectricity in isotropic chiral solids
    Lakes, Roderic
    APPLIED PHYSICS LETTERS, 2015, 106 (21)
  • [24] Elastic Solids with Strain-Gradient Elastic Boundary Surfaces
    Rodriguez, C.
    JOURNAL OF ELASTICITY, 2024, 156 (03) : 769 - 797
  • [25] Frictional Contact on Smooth Elastic Solids
    Larionov, Egor
    Fan, Ye
    Pai, Dinesh K.
    ACM TRANSACTIONS ON GRAPHICS, 2021, 40 (02):
  • [26] Branched cracks in anistropic elastic solids
    Obata, Makoto
    Nemat-Nasser, Siavouche
    Goto, Yoshiaki
    Journal of Applied Mechanics, Transactions ASME, 1989, 56 (04): : 858 - 864
  • [27] An analysis of nanoindentation in linearly elastic solids
    Poon, B.
    Rittel, D.
    Ravichandran, G.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (24) : 6018 - 6033
  • [28] Stochastic isotropic hyperelastic materials: constitutive calibration and model selection
    Mihai, L. Angela
    Woolley, Thomas E.
    Goriely, Alain
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 474 (2211):
  • [29] Transversely isotropic hyperelastic constitutive models for plastic thermoforming simulation
    Oueslati, Zied
    Rachik, Mohamed
    Lacrampe, Marie-France
    CURRENT STATE-OF-THE-ART ON MATERIAL FORMING: NUMERICAL AND EXPERIMENTAL APPROACHES AT DIFFERENT LENGTH-SCALES, PTS 1-3, 2013, 554-557 : 1715 - 1728
  • [30] Analytical applications and effective properties of a second gradient isotropic elastic material model
    Enakoutsa, Koffi
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03): : 1277 - 1293
12345