NDLI: Modelling and simulation of the localized plastic deformation by relaxation element method

Content Provider	Springer Nature Link
Author	Deryugin, Ye. Ye. Lasko, G. V. Schmauder, S.
Copyright Year	2006
Abstract	In the present work a new and a little known method of modelling and simulation of plastic strain localization in a loaded solid - relaxation element method (REM) is presented. The fundamental property of solid: “Plastic deformation of solid under loading is accompanied by stress relaxation in the local volume of it” lies in the basis of the method. The theoretical grounding of the method from the point of view of constitutive equations of theory of elasticity and continuum theory of defects is conducted. For the plane-stress state the technique of construction of local sites of plastic deformation by the method on the mesoscopic scale level is demonstrated. The technique of calculation of stress state of the plane with the sites of different shape and gradients of plastic deformation is described. The new type of relaxation elements, different from ones used in the works [1-6] has been applied. This allowed to extend the method on the new class of objects. The examples and the results of simulation of the processes of plastic strain localization, accompanied by the effect of Lüder’s band propagation and Portevin Le Chatelier Effect are considered. The examples show, that REM is a comfortable tool when simulating the effect of plastic strain localization on meso- and macro- level.
Starting Page	791
Ending Page	801
Page Count	11
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	40
Issue Number	4
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-12-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics, Fluids, Thermodynamics Computational Science and Engineering Numerical and Computational Methods in Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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

Efficient parallel algorithms for elastic–plastic finite element analysis

An rp-adaptive finite element method for the deformation theory of plasticity

Numerical modelling of impact rupture in polysilicon microsystems

Embedded discontinuity finite element method for modeling of localized failure in heterogeneous materials with structured mesh: an alternative to extended finite element method

Efficient elastoplastic analysis with the boundary element method

A Smoothed Finite Element Method for Mechanics Problems

Nonlinear inelastic uniform torsion of bars by BEM

A macro-element for incompressible finite deformations based on a volume averaged deformation gradient

Mechanics of extended continua: modeling and simulation of elastic microstretch materials

Modelling and simulation of the localized plastic deformation by relaxation element method

Similar Documents

Efficient parallel algorithms for elastic–plastic finite element analysis

An rp-adaptive finite element method for the deformation theory of plasticity

Numerical modelling of impact rupture in polysilicon microsystems

Embedded discontinuity finite element method for modeling of localized failure in heterogeneous materials with structured mesh: an alternative to extended finite element method

Efficient elastoplastic analysis with the boundary element method

A Smoothed Finite Element Method for Mechanics Problems

Nonlinear inelastic uniform torsion of bars by BEM

A macro-element for incompressible finite deformations based on a volume averaged deformation gradient

Mechanics of extended continua: modeling and simulation of elastic microstretch materials

Modelling and simulation of the localized plastic deformation by relaxation element method