Consideration is given to the existence of minimisers for a family of variational models of finite‐strain single‐crystal elastoplasticity with infinite cross‐hardening. The non‐convex cross‐hardening condition on the plastic slip necessitates the use of special analytical tools, in particular the combination of the div‐curl Lemma with a slip‐exclusion Lemma of Conti & Ortiz , if one wishes to prove existence for physically reasonable parameters. A regularised model with a cross‐hardening matrix is also briefly discussed ‐ existence of minimisers for this model also follows by a div‐curl argument, at least if one goes over to the case of linearised elasticity. Moreover, in this case one can also prove that the regularised model Γ‐converges to the infinite‐cross‐hardening model as the hardening matrix becomes unboundedly large. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.
All for just $49/month
Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.
Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.
It’s easy to organize your research with our built-in tools.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera