Towards stochastic continuum damage mechanics

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:184

Article; Proceedings Paper

Malyarenko, Anatoliy¹  Ostoja-Starzewski, Martin² 

[1] Malardalen Univ, Div Appl Math, SE-72123 Vasteras, Sweden

[2] Univ Illinois, Dept Mech Sci & Engn, Urbana, IL 61801 USA

关键词: Tensor random field;    Damage mechanics;    Damage tensor;    Fabric tensor;   

DOI  :  10.1016/j.ijsolstr.2019.02.023

来源: Elsevier

【 摘 要 】

In classical continuum damage mechanics, the distribution of cracks over differently oriented planes is an even deterministic function defined on the unit sphere. The coefficients of its Fourier expansion are completely symmetric and completely traceless tensors of even rank, the so-called fabric or damage tensors. We propose a stochastic generalisation of the above described mathematical model, where damage tensors are mean-square continuous wide-sense homogeneous and isotropic random fields. (C) 2019 Elsevier Ltd. All rights reserved.

【 授权许可】

Free