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Towards stochastic continuum damage mechanics
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-0139-0747
University of Illinois at Urbana-Champaign, USA.ORCID iD: 0000-0002-3493-363X
2020 (English)In: International Journal of Solids and Structures, ISSN 0020-7683, E-ISSN 1879-2146, Vol. 184, p. 202-210Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2020. Vol. 184, p. 202-210
Keywords [en]
Tensor random field, Damage mechanics, Damage tensor, Fabric tensor
National Category
Probability Theory and Statistics
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-45222DOI: 10.1016/j.ijsolstr.2019.02.023ISI: 000509816700015Scopus ID: 2-s2.0-85062960537OAI: oai:DiVA.org:mdh-45222DiVA, id: diva2:1351535
Available from: 2019-09-16 Created: 2019-09-16 Last updated: 2020-02-20Bibliographically approved

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Publisher's full textScopushttp://www.sciencedirect.com/science/article/pii/S0020768319301040

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Malyarenko, Anatoliy

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