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首页> 外文会议>Engineering Structures under Extreme Conditions: Multi-Physics and Multi-Scale Computer Models in Non-Linear Analysis and Optimal Design; NATO Science Series III: Computer and Systems Sciences; vol.194 >Continuous/discrete strategies for the modelling of fracturing solids
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Continuous/discrete strategies for the modelling of fracturing solids

机译：压裂固体建模的连续/离散策略

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摘要

Computational strategies involved in the numerical simulation of large scale practical problems, characterised by a transition from a continuum to a discontinuous state, are reviewed in the present work. For problems restricted to relatively small deformations, the use of continuum based methods may be suitable, but for situations involving large geometric changes with possible post-fracture particle flow, there are compelling advantages in employing combined finite/discrete element solution strategies. The need for rigorous consideration of both theoretical and algorithmic issues is emphasised, particularly in relation to the computational treatment of the progressive damage that precedes crack initiation and element technology capable of dealing with plastic incompressibility. Other important aspects such as adaptive mesh refinement procedures are discussed and attention is given to choice of appropriate error estimators which are able to capture internal deterioration of the material. Finally, procedures are presented for undertaking the transition from continuously distributed fracture states to discrete crack systems, followed by post-failure modelling. Issues that are addressed in this context include mesh objectivity requirements, discrete element modelling, procedures for detecting the interaction between large systems of discrete objects and the imposition of specific interaction/contact laws. The practical application of the above methodology is illustrated by the numerical solution of relevant problems.
机译：在当前工作中，对以大规模实践问题的数值模拟为特征的计算策略进行了综述，其特征是从连续状态过渡到不连续状态。对于仅限于相对较小变形的问题，使用基于连续体的方法可能是合适的，但是对于涉及较大几何变化且可能存在破裂后粒子流的情况，采用组合有限元/离散元求解策略具有明显优势。强调了对理论和算法问题都需要严格考虑的需求，尤其是在裂纹产生之前的渐进式损伤的计算处理和能够处理塑性不可压缩性的单元技术方面。讨论了诸如自适应网格细化程序之类的其他重要方面，并注意选择能够捕获材料内部劣化的适当误差估计量。最后，给出了进行从连续分布的断裂状态到离散裂纹系统过渡，然后进行失效后建模的程序。在此情况下解决的问题包括网格客观性要求，离散元素建模，用于检测大型离散对象系统之间的相互作用以及施加特定相互作用/接触定律的过程。通过相关问题的数值解来说明上述方法的实际应用。

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