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Brief Introduction to Damage Mechanics and its Relation to Deformations
University of Bremen, Germany.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
2018 (English)In: Mathematical Analysis of Continuum Mechanics and Industrial Applications II: Proceedings of the International Conference CoMFoS16 / [ed] van Meurs, Patrick, Kimura, Masato, Notsu, Hirofumi, Springer, 2018, p. 115-124Chapter in book (Refereed)
Abstract [en]

We discuss some principle concepts of damage mechanics and outline a possibility to address the open question of the damage-to-deformation relation by suggesting a parameter identification setting. To this end, we introduce a variable motivated by the physical damage phenomenon and comment on its accessibility through measurements. We give an extensive survey on analytic results and present an isotropic irreversible partial damage model in a dynamic mechanical setting in form of a second order hyperbolic equation coupled with an ordinary differential equation for the damage evolution. We end with a note on a possible parameter identification setting.

Place, publisher, year, edition, pages
Springer, 2018. p. 115-124
Series
Mathematics for Industry, ISSN 2198-350X ; 30
Keywords [en]
damage, mechanics of solids, non-linear differential equations, parameter identification
National Category
Mathematics
Research subject
Materials Engineering; Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-63936ISBN: 978-981-10-6283-4 (electronic)OAI: oai:DiVA.org:kau-63936DiVA, id: diva2:1143993
Available from: 2017-09-24 Created: 2017-09-24 Last updated: 2018-06-28Bibliographically approved

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Muntean, Adrian

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