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WAVE MOTION IN ELASTIC-PLASTIC SOLIDS BY SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD

Venkatesan, Arvind
http://rave.ohiolink.edu/etdc/view?acc_num=osu1367581029

Abstract Details

2013, Master of Science, Ohio State University, Mechanical Engineering.
The objective of the present work is the development of a theoretical and numerical framework to simulate elastic-plastic waves in solids. The governing equations used include the momentum equation, continuity equation and the constitutive relation for plasticity in the Eulerian frame. The constitutive equation relates deviatoric stresses with the plastic strain. The linear constitutive relation is made non-linear by the use of Jaumann rate. The final set of equations is a system of first order, fully coupled partial differential equations with source terms. To solve these equations, the space-time Conservation Element and Solution Element (CESE) method is used. Numerical results of two dimensional elastic-plastic waves would be reported in the thesis. The results would be validated by comparisons with available experimental results and published works. The model can be further developed to aid in modeling properties and real world performance more accurately. This framework can be used to model a variety of applications like explosive welding and ultrasonic welding processes.
Sheng-Tao John Yu (Advisor)
Daniel Albert Mendelsohn (Committee Member)
73 p.
Engineering; Mechanical Engineering
CESE; solid mechanics; explosion welding; welding; simulation;

Recommended Citations

Citations

  • Venkatesan, A. (2013). WAVE MOTION IN ELASTIC-PLASTIC SOLIDS BY SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1367581029

    APA Style (7th edition)

  • Venkatesan, Arvind. WAVE MOTION IN ELASTIC-PLASTIC SOLIDS BY SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD. 2013. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1367581029.

    MLA Style (8th edition)

  • Venkatesan, Arvind. "WAVE MOTION IN ELASTIC-PLASTIC SOLIDS BY SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD." Master's thesis, Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1367581029

    Chicago Manual of Style (17th edition)

osu1367581029
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© 2013, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.