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The dissipation inequality in hypoplasticity
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Lightweight Structures.
2011 (English)In: Acta Mechanica, ISSN 0001-5970, E-ISSN 1619-6937, Vol. 221, no 1-2, 39-47 p.Article in journal (Refereed) Published
Abstract [en]

Standard hypoplasticity is examined with respect to the thermodynamic requirement of non-negative energy dissipation. We introduce a stress energy function and derive a dissipation inequality in terms of the stress-dependent operators of the hypoplastic law. A general form for the non-linear operator is also found, which makes it straightforward to construct thermodynamically consistent hypoplasticity laws. We further examine the subclass of hypoplasticity where the linear term is non-dissipative and construct some examples of hypoplastic laws based on a quadratic stress energy function.

Place, publisher, year, edition, pages
2011. Vol. 221, no 1-2, 39-47 p.
National Category
Vehicle Engineering
Identifiers
URN: urn:nbn:se:kth:diva-39012DOI: 10.1007/s00707-011-0487-xISI: 000293983000004Scopus ID: 2-s2.0-80052554915OAI: oai:DiVA.org:kth-39012DiVA: diva2:439173
Funder
Swedish Research Council
Available from: 2011-09-06 Created: 2011-09-06 Last updated: 2017-12-08Bibliographically approved

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