Anisotropic damage mechanics for viscoelastic ice
Anisotropic damage mechanics for viscoelastic ice
复制标题
粘弹性冰的各向异性损伤力学
DOI：
10.1007/s00161-005-0002-5
复制
发表时间：
2006
影响因子：
2.6
通讯作者：
Martin Funk
中科院分区：
文献类型：
--
作者：
A. Pralong;K. Hutter;Martin Funk
我们提出了一个配方的连续损伤冰川冰，包括诱导各向异性的损伤效应，但正式限制这些正交各向异性。损伤是由一个对称的二阶张量，在结构上起着内部变量的作用。它可以被解释为一个纹理措施，量化的有效特定区域，内部应力可以传递。损伤张量的演化方程是在参考位形中得到的，并被推进到当前位形。得到了损伤张量演化方程的空间客观本构形式。受损冰的流变学假定没有体积守恒。它的本构关系是由自由焓和耗散势导出的，并通过弹性和损伤张量相关项扩展了经典的各向同性幂律。所有的本构关系都符合热力学第二定律。
We present a formulation of continuum damage in glacier ice that incorporates the induced anisotropy of the damage effects but restricts these formally to orthotropy. Damage is modeled by a symmetric second rank tensor that structurally plays the role of an internal variable. It may be interpreted as a texture measure that quantifies the effective specific areas over which internal stresses can be transmitted. The evolution equation for the damage tensor is motivated in the reference configuration and pushed forward to the present configuration. A spatially objective constitutive form of the evolution equation for the damage tensor is obtained. The rheology of the damaged ice presumes no volume conservation. Its constitutive relations are derived from the free enthalpy and a dissipation potential, and extends the classical isotropic power law by elastic and damage tensor dependent terms. All constitutive relations are in conformity with the second law of thermodynamics.