NDLI: Gradient dependent plasticity and the finite difference method

Please wait, while we are loading the content...

Gradient dependent plasticity and the finite difference method

Content Provider	Scilit
Author	Alehossein, H. Korinets, A.
Copyright Year	2021
Description	Solutions to complex plasticity problems by numerical methods normally require discretisation of the geometry and approximation of the governing equations. In classical plasticity theories the material post-peak strength depends on a strain softening parameter in terms of an equivalent plastic strain measure. When modelling strain-softening, classical (local) continuum theories suffer from mesh dependency problems because of the lack of an internal length scale. As a result of this deficiency, the critical condition for localisation coincides with the condition for the loss of ellipticity of the governing differential equations. This mathematical ill-conditioning can be prevented by using higher order (non-local) continuum theories. Among the theories, the gradient-dependent plasticity theory, has been successfully implemented into a few finite element algorithms for the stress analysis of strain-softening materials. The addition of a gradient term in the material failure criterion preserves ellipticity condition and consequently removes mesh-dependency after the strain-softening regime has been entered. In this paper, an implementation of the gradient-dependent plasticity theory to general finite difference codes is discussed. Book Name: Bifurcation and Localisation Theory in Geomechanics
Related Links	https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003210931-16&type=chapterpdf
Ending Page	124
Page Count	8
Starting Page	117
DOI	10.1201/9781003210931-16
Language	English
Publisher	Informa UK Limited
Publisher Date	2021-06-18
Access Restriction	Open
Subject Keyword	Book Name: Bifurcation and Localisation Theory in Geomechanics Mechanics Plasticity Strain Softening Gradient Stress Differential Modelling Equations Ellipticity
Content Type	Text
Resource Type	Chapter

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

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