Qualitative Behaviour of Elastic-Plastic Solutions for a Class of Damage Mechanics Models Near Bimaterial Interfaces: A Simple Analytical Example
Joint Authors
Alexandrov, Sergei
Mustafa, Yusof
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The paper presents an exact analytic solution for a class of elastic-plastic models with damage evolution.
The boundary value problem consists of a planar deformation comprising the simultaneous shearing and expansion of a hollow cylindrical specimen of material and involves a bimaterial interface at which the materials stick to each other.
With no loss of generality for understanding the qualitative behaviour of the solution near the bimaterial interface, an extreme case when the hard material is rigid is considered.
The solution is reduced to a transcendental equation for the value of the equivalent plastic strain at the bimaterial interface.
This equation predicts that the equivalent plastic strain attains a maximum under certain conditions.
The existence of the solution of the boundary value problem depends on the value of the damage parameter at fracture, which is a material constant.
In particular, if this value is larger than the value of the damage parameter at the bimaterial interface corresponding to the maximum possible value of the equivalent strain at this interface, then no solution exists.
Experimental data available in the literature are used to assess whether Lemaitre’s model is applicable.
American Psychological Association (APA)
Alexandrov, Sergei& Mustafa, Yusof. 2013. Qualitative Behaviour of Elastic-Plastic Solutions for a Class of Damage Mechanics Models Near Bimaterial Interfaces: A Simple Analytical Example. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1031731
Modern Language Association (MLA)
Alexandrov, Sergei& Mustafa, Yusof. Qualitative Behaviour of Elastic-Plastic Solutions for a Class of Damage Mechanics Models Near Bimaterial Interfaces: A Simple Analytical Example. Mathematical Problems in Engineering No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1031731
American Medical Association (AMA)
Alexandrov, Sergei& Mustafa, Yusof. Qualitative Behaviour of Elastic-Plastic Solutions for a Class of Damage Mechanics Models Near Bimaterial Interfaces: A Simple Analytical Example. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1031731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031731