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991.
992.
H. Xiao 《Journal of Elasticity》1997,48(3):241-283
Our concern is with the problem of determining general reduced forms of constitutive equations of Cauchy elastic solids under
all kinds of material symmetries, including well-known crystal classes and newly discovered quasicrystal classes. By means
of Tschebysheff polynomials we present in unified forms simple irreducible representations for elastic constitutive equations
under the infinitely many subgroup classes C
2m+1, C
2m+2, D
2m+1 and D
2m+2 for all m = 1, 2,... Moreover, we provide a simple representation for elastic constitutive equations under the most complicated point
group, i.e. the icosahedral group. Each presented representation is expressed in terms of not more than nine polynomial tensor
generators only.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
993.
V. I. Levitas 《Acta Mechanica Sinica》1992,8(3):253-260
The non-uniqueness of the trantition from nonobjective constitutive relations to objective ones with the use of the principle
of material frame-indifference (PMFI) is shown. To eliminate it, the concept of finite strain without rotations (FSWR) for
a given material type and each strain component (elastic, plastic) is introduced. In FSWR the rotation is excluded with respect
to the natural preferred configuration for a given material. Considered are a simple solid, a liquid, a monocrystal, a polycrystal
and a composite. The proecedure is proposed for consistent generalization of known infinitesimal relations for finite strains
and rotations. The structure of constitutive relations is derived for anisotropic elasto-plastic mono- and polycrystalline
materials. 相似文献
994.
995.
In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary
condition does not exist. This problem has been studied in this paper. The contents studied contain of examining objectivity
of the energy balance, deducing the constitutive equations of nonlocal thermoelastic bodies, and determining nonlocal force
and the linear nonlocal elasticity theory. Some new results are obtained. Among them, the stress boundary condition derived
from the linear theory not only solves the problem mentioned at the beginning, but also contains the model of molecular cohesive
stress on the sharp crack tip advanced by Barenblatt. 相似文献
996.
997.
本文证明了若取客观应力率为 Kirchhoff 应力的 Oldroyd 导数,对于 Lame 参数λ、μ为常数的情况,率形式弹性本构律的可积条件为 λ=0。这显然表明在大变形情况下率形式弹塑性本构律与超弹性条件这两者之间在一般情况下并不协调。文中还讨论了几种弹性本构律可以近似用于大变形描述的情况。 相似文献
998.
Prashant K. Purohit 《Journal of the mechanics and physics of solids》2003,51(3):393-424
This paper presents a theory to describe the dynamical behavior of a string made of a phase-transforming material like a shape-memory alloy. The study of phase boundaries, the driving force acting on them and the kinetic relation governing their propagation is of central concern. The paper proposes a qualitative experimental test of the notion of a kinetic relation, as well as a simple experimental method for measuring it quantitatively. It presents a numerical method for studying general initial and boundary value problems in strings, and concludes by exploring the use of phase transforming strings to generate motion at very small scales. 相似文献
999.
锚固正交各向异性岩体的本构关系和破坏准则 总被引:8,自引:0,他引:8
从理论上对由系统锚杆加固的正交各向异性岩体,取出包含锚杆的表征单元.根据“等效材料”的概念,在原岩体的本构关系和破坏准则中计人锚杆刚度和强度的“贡献”,从而建立了相应锚固岩体的木构关系和破坏准则.然后列举算例,考察了表征单元的应力-应变关系和破坏强度随锚杆安置角度变化的各向异性表现.最后将计算与一个简单试验的结果作了对比,看到二者的吻合程度较好,因而初步地验证了所提力学模型的可靠性. 相似文献
1000.
本文从分子运动学理论出发建立了表征材料粘弹性变形的内变量演变方程,从不可逆过程热力学的基本方程和该内变量演变方程导出了积分型线性粘弹性应力应变关系。 相似文献