NDLI: On global spatial regularity in elasto-plasticity with linear hardening

Content Provider	Springer Nature Link
Author	Knees, Dorothee
Copyright Year	2009
Abstract	We study the global spatial regularity of solutions of elasto-plastic models with linear hardening. In order to point out the main idea, we consider a model problem on a cube, where we prescribe Dirichlet and Neumann boundary conditions on the top and the bottom, respectively, and periodic boundary conditions on the remaining faces. Under natural smoothness assumptions on the data we obtain $${u \in {\rm L}^\infty((0, T); {\rm H}^{\frac{3}{2}-\delta}(\Omega))}$$ for the displacements and $${z \in {\rm} L^\infty((0,T); {\rm H}^{\frac{1}{2}-\delta}(\Omega))}$$ for the internal variables. The proof is based on a difference quotient technique and a reflection argument.
Ending Page	625
Page Count	15
Starting Page	611
File Format	PDF
ISSN	09442669
e-ISSN	14320835
Journal	Calculus of Variations and Partial Differential Equations
Issue Number	4
Volume Number	36
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-06-03
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Smoothness and regularity of solutions Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Regularity of solutions Theoretical, Mathematical and Computational Physics Analysis Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On global spatial regularity in elasto-plasticity with linear hardening