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- Malyarenko, Anatoliy,1957-Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM (author)
Towards stochastic continuum damage mechanics
- Article/chapterEnglish2020
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- Elsevier,2020
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:mdh-45222
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-45222URI
- https://doi.org/10.1016/j.ijsolstr.2019.02.023DOI
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- Language:English
- Summary in:English
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Notes
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- Tensor random field
- Damage mechanics
- Damage tensor
- Fabric tensor
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Added entries (persons, corporate bodies, meetings, titles ...)
- Ostoja-Starzewski, MartinUniversity of Illinois at Urbana-Champaign, USA (author)
- Mälardalens högskolaUtbildningsvetenskap och Matematik (creator_code:org_t)
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- In:International Journal of Solids and Structures: Elsevier184, s. 202-2100020-76831879-2146
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