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Multi-scale modeling of heterogeneous structures with inelastic constitutive behaviour Part Ⅰ - physical and mathematical aspects

机译：具有非弹性本构行为的非均质结构的多尺度建模第一部分-物理和数学方面

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摘要

Purpose - To provide a computational strategy for highly accurate analyses of non-linear inelastic behaviour for heterogeneous structures in civil and mechanical engineering applications Design/methodology/approach - Adapts recent developments on mathematical formulations of multi-scale problems to the recently developed component technology based on C+ + generic templates programming. Findings - Provides the understanding how theoretical hypotheses, concerning essentially the multi-scale interface conditions, affect the computational precision of the strategy. Practical implications - The present approach allows a very precise modelling of multi-scale aspects in structural mechanics problems and can play an essential tool in searching for an optimal structural design. Originality/value - Provides all the ingredients for constructing an efficient multi-scale computational framework, from the theoretical formulation to the implementation for parallel computing. It is addressed to researchers and engineers analysing composite structures under extreme loading.
机译：目的-为土木和机械工程应用中的非均质结构的非线性非弹性行为的高度精确分析提供一种计算策略设计/方法/方法-使多尺度问题的数学公式的最新发展适应最近开发的基于组件技术在C ++通用模板编程上。结果-提供有关本质上涉及多尺度接口条件的理论假设如何影响该策略的计算精度的理解。实际意义-本方法允许对结构力学问题中的多尺度方面进行非常精确的建模，并且可以在寻找最佳结构设计中扮演重要工具。原创性/价值-提供从理论公式到并行计算实现的所有要素，以构建高效的多尺度计算框架。适用于研究人员和工程师在极端载荷下分析复合结构的情况。

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