有界内聚面项的自由不连续函数的均质化问题

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-11-06 DOI:10.1007/s00205-024-02053-0

Gianni Dal Maso, Rodica Toader

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引用次数: 0

摘要

受内聚断裂模型的启发，我们研究了表面项新假设下自由不连续函数的随机均质化问题。研究结果是通过对具有非常简单边界条件的立方体上合适的最小化问题的渐近行为，利用极限函数的特征描述获得的。亚加性遍历定理发挥了重要作用。

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Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms

We study stochastic homogenisation problems for free discontinuity functionals under a new assumption on the surface terms, motivated by cohesive fracture models. The results are obtained using a characterization of the limit functional by means of the asymptotic behaviour of suitable minimisation problems on cubes with very simple boundary conditions. An important role is played by the subadditive ergodic theorem.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.