作为离散二维断裂孪晶模型的连续各向异性损伤
Continuous anisotropic damage as a twin modelling of discrete bi-dimensional fracture
摘要：
在这方面的贡献，使用离散模拟制定各向异性损伤模型进行了研究。建议使用梁-粒子模型进行数值表征测试。事实上，这个离散模型明确地描述了开裂允许位移不连续性，从而捕获裂纹诱导的各向异性。通过二维离散模拟，得到了各种加载试验的有效弹性张量的演化，直至失效。然后通过二维谐波分解对这些张量进行分析，以估计张量损伤演化。作为本工作的一个副产品，我们得到了一个上界的正交各向异性对称类的二维弹性的距离。
英文摘要：
In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical characterization tests. Indeed, this discrete model explicitly describes cracking by allowing displacement discontinuities and thus capture crack induced anisotropy. Through 2D discrete simulations, the evolution of the effective elasticity tensor for various loading tests, up to failure, is obtained. The analysis of these tensors through bi-dimensional harmonic decomposition is then performed to estimate the tensorial damage evolution. As a by-product of present work we obtain an upper bound of the distance to the orthotropic symmetry class of bi-dimensional elasticity.
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