Continuum damage mechanics for the lithosphere
Continuum damage mechanics for the lithosphere
复制标题
岩石圈的连续损伤力学
DOI：
10.1029/2010jb007501
复制
发表时间：
2011
影响因子：
--
通讯作者：
T. Poulet
中科院分区：
文献类型：
--
作者：
A. Karrech;A. Karrech;K. Regenauer‐Lieb;K. Regenauer‐Lieb;T. Poulet;T. Poulet
[1] 本文介绍了承受热机械载荷的深层岩石圈层连续损伤力学的新数学公式。该材料的流变性包括各向同性线性弹性以及由组合蠕变机制引起的非线性粘塑性。该公式基于广义标准材料理论，其中耗散过程遵循最大耗散原理。该模型是使用相对较新的热和速率依赖性考虑技术进行数值实现的。还包括具有高收敛速度的径向返回映射的预测校正算法。结果表明连续损伤对局部材料完整性有明显影响。这种弱化效应增加了剪切热反馈，从而加速了软化行为。当考虑在高温和低加载速率下发生的过程时，忽视损伤会导致岩石圈中的力被高估。
[1] This paper introduces a new mathematical formulation of continuum damage mechanics for deep lithospheric layers subjected to thermomechanical loading. The material's rheology includes isotropic linear elasticity as well as nonlinear viscoplasticity induced by combined creep mechanisms. The formulation is based on the theory of generalized standard materials where the dissipative processes obey the principle of maximum dissipation. The model was implemented numerically using relatively new techniques of thermal and rate dependency considerations. The predictor-corrector algorithm of radial return mapping characterized by high convergence rates was also included. The results show a clear impact of continuum damage on the local material integrity. This weakening effect adds up to the shear heating feedback which accelerates the softening behavior. When considering processes taking place at high temperatures and low rates of loading, neglecting damage leads to overestimated forces in the lithosphere.