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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
(English)In: International Journal of Solids and Structures, ISSN 0020-7683, E-ISSN 1879-2146Article in journal (Refereed) In press
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.
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.2019.02.023OAI: oai:DiVA.org:mdh-45222DiVA, id: diva2:1351535
Available from: 2019-09-16 Created: 2019-09-16 Last updated: 2019-09-23Bibliographically approved

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Malyarenko, Anatoliy

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