NDLI: Analyticity of the solution of a plane elastoplastic problem

Content Provider	Springer Nature Link
Author	Zadorozhnyi, V. G. Kovalev, A. V. Sporykhin, A. N.
Copyright Year	2008
Abstract	Elastoplastic problems of the theory of ideal plasticity were studied numerically by the method of small parameter in the monographs [1–3], and strengthening elastoplastic problems were studied in the monograph [4], where a rather complete bibliography of studies in this direction is given. The conditions for the continuous dependence of the the stress-strain state characteristics on the boundary conditions and the material inhomogeneity are defined using the implicit function theorem in [5, 6].In the present paper, in the framework of the perturbation method, we determine the stress state in a cylindrical tube with nearly circular boundaries under the action of pressure. Using the implicit function theorem, we examine the existence and uniqueness of the solution of the problem. We show that its solution can be obtained in the case of any analytic shape of the boundary and any number of material physical-mechanical characteristics depending on finitely many small parameters. The results can be generalized to more complicated models of media. The results obtained in this paper are compared with already known results.
Starting Page	117
Ending Page	123
Page Count	7
File Format	PDF
ISSN	00256544
Journal	Mechanics of Solids
Volume Number	43
Issue Number	1
e-ISSN	19347936
Language	English
Publisher	Allerton Press, Inc.
Publisher Date	2008-04-12
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials

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 the solution singularity in the plane elasticity problem for a cantilever strip

Solution of a plane elastic problem with given trajectories of the principal stresses

Asymptotic solution of the anti-plane problem for a two-dimensional lattice

Theory of elastoplastic processes and study of structure-mechanical properties of materials

Influence of the material hardening and compressibility on the solution of elastoplastic deformation problems for a space with a cylindrical cavity

On the solution of the Darboux problem

Stress tensor symmetry and singular solutions in the theory of elasticity

Effect of material compressibility on the solution of the elastoplastic plane strain problem

Stress-strain state in an elastoplastic cylindrical tube with free ends. I. General solution

Analyticity of the solution of a plane elastoplastic problem

Similar Documents

On the solution singularity in the plane elasticity problem for a cantilever strip

Solution of a plane elastic problem with given trajectories of the principal stresses

Asymptotic solution of the anti-plane problem for a two-dimensional lattice

Theory of elastoplastic processes and study of structure-mechanical properties of materials

Influence of the material hardening and compressibility on the solution of elastoplastic deformation problems for a space with a cylindrical cavity

On the solution of the Darboux problem

Stress tensor symmetry and singular solutions in the theory of elasticity

Effect of material compressibility on the solution of the elastoplastic plane strain problem

Stress-strain state in an elastoplastic cylindrical tube with free ends. I. General solution

Analyticity of the solution of a plane elastoplastic problem