On a Class of Continuum Damage Mechanics Theories
On a Class of Continuum Damage Mechanics Theories
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论一类连续损伤力学理论
DOI：
10.1177/105678959300200204
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
S. Yazdani
中科院分区：
文献类型：
--
作者：
S. Yazdani
概述了应力空间中热力学一致的连续损伤力学公式。损伤反映在四阶材料柔顺张量中，涉及损伤参数，其增量是根据损伤表面的一致性条件获得的。公式化了模式 I 中的新损伤函数和替代损伤响应张量，实现了从解理损伤模式到压缩损伤模式的平滑过渡，并预测了横向的非线性响应。此外，使用简单的演化方程预测了损伤模式 I 下的永久变形。切线柔量张量也根据响应张量和损伤函数相对于状态变量的第一变体给出。该模型针对砂浆和混凝土中的不同应力路径进行了说明。
A thermodynamically consistent continuum damage mechanics formula tion in the stress space is outlined. Damage is reflected in the fourth-order material com pliance tensor involving a damage parameter whose increment is obtained from the consis tency condition of the damage surface. A new damage function and an alternate damage response tensor in mode I are formulated by means of which a smooth transition from the cleavage damage mode to the compressive damage mode is achieved and nonlinear re sponses in the lateral directions are predicted. Furthermore, the permanent deformation in damage mode I is predicted by using a simple evolutionary equation. The tangent compli ance tensor is also given in terms of the response tensors and the first variation of the damage function with respect to state variables. The model is illustrated for different stress paths in mortar and concrete.