蠕变损伤全耦合方法的数学分析
Mathematical analysis of fully coupled approach to creep damage
摘要：
我们证明了一个经典的蠕变损伤问题解的存在唯一性。我们制定了一个充分条件的问题有一个独特的光滑的解决方案，当地的时间。该条件是根据给定数据的平滑度来陈述的，例如实体几何形状、边界条件、施加的载荷和初始条件。反例与任意小的寿命的结构也给出了，机械的解释强加的光滑条件。所提出的理论给出了一个严格的框架，应变局部化分析。在此框架内的损伤梯度的应变局部化过程的影响的特点和损伤局部化的措施提出。
英文摘要：
We prove the existence and uniqueness of solution to a classical creep damage problem. We formulate a sufficient condition for the problem to have a unique smooth solution, locally in time. This condition is stated in terms of smoothness of given data, such as solid geometry, boundary conditions, applied loads, and initial conditions. Counterexamples with an arbitrary small lifetime of a structure are also given, showing the mechanical interpretation of imposed smoothness conditions. The proposed theory gives a rigorous framework for a strain localization analysis. The influence of the damage gradient on the strain localization process is characterized within this framework and a measure of the damage localization is proposed.
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