Time-dependent Damage Accumulation and Failure in Materials

9420831 Curtin该项目将发展预测材料在缓慢损伤形成下的损伤积累和最终破坏所需的一般概念。这项工作将通过使用随机方法来计算损伤分布的时间演变，开发模型来描述故障时间和分布在系统大小和潜在损伤形成率上的比例。利用基于格子格林函数的新开发的高效算法对损伤演化进行数值模拟，以验证和指导分析模型的开发。一个重要的目标将是确定明确的失败前兆，这样就可以预测失败。这里开发的模型也将为解释实验提供一个广泛的框架。实验数据谱之间的关系将被阐明。这个理论项目涉及研究各种材料的损伤累积。无论是用方程建模，还是用新开发的算法进行计算机模拟，都有助于理解损伤。损伤如何累积与失效直接相关，即材料何时断裂。这项工作涉及到在陶瓷、聚合物、复合材料、金属、骨骼和地震断层等材料中应用特定系统的模型。这一跨越物理和材料的研究领域在材料理论计划中代表性不足，因此是高优先级之一。＊＊＊

9420831 Curtin This project will develop the general concepts needed to predict the damage accumulation and ultimate failure of materials subject to slow damage formation. This work will develop models to describe the scaling of failure times and distribution on system size and on the underlying damage formation rate by using stochastic methods to calculate the time evolution of the damage distribution. Numerical simulations of the damage evolution using newly-developed efficient algorithms based on lattice Green functions will be utilized to verify and guide the analytic model development. An important goal will be to identify well- defined precursors to the failure, such that failure can be anticipated. The models developed here will also provide a broad framework for interpreting experiments. Relationships between the spectrum of experimental data will be elucidated. %%% This theoretical project involves investigating the accumulation of damage in a variety of materials. Both modeling using equations and also computer simulations using newly-developed algorithms help to understand damage. How damage accumulates is directly related to failure, i.e., when the material breaks. The work involves applying models for specific systems in materials such as ceramics, polymers, composites, metals, bones, and earthquake faults. This research area, spanning physics and materials, is underrepresented in the Materials Theory Program, so it is one of high priority. ***