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Generalized Eulerian-Lagrangian finite element methods for nonlinear dynamic problems

Kurniawan, Antonius S.
http://rave.ohiolink.edu/etdc/view?acc_num=case1054912471

Abstract Details

1990, Doctor of Philosophy, Case Western Reserve University, Civil Engineering.
A Generalized Eulerian-Lagrangian formulation for Non-Linear Dynamic problems is developed for solid materials. This formulation is derived from the basic laws and axioms of continuum mechanics. The novel aspect of this method is that we are able to investigate the physics in the spatial region of interest as material flows through it without having to follow material points in time. A Finite Element approximation to the Governing Equations is developed. Iterative methods for the solution of the discrete Finite Element equation are explored along with the use of the Newmark temporal integration scheme. A FORTRAN program to implement this formulation is developed. In order to demonstrate the advantage, utility and flexibility of this technique, solution to a number of problems are presented. The results from the new technique are compared to the closed form solution, or to the known existing solution whenever possible. In addition, it will also be shown that the method can serve as a tool to solve sliding contact problems.
Robert Mullen (Advisor)
109 p.
Engineering, Civil
Eulerian-Lagrangian finite element nonlinear dynamic

Recommended Citations

Citations

  • Kurniawan, A. S. (1990). Generalized Eulerian-Lagrangian finite element methods for nonlinear dynamic problems [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1054912471

    APA Style (7th edition)

  • Kurniawan, Antonius. Generalized Eulerian-Lagrangian finite element methods for nonlinear dynamic problems. 1990. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1054912471.

    MLA Style (8th edition)

  • Kurniawan, Antonius. "Generalized Eulerian-Lagrangian finite element methods for nonlinear dynamic problems." Doctoral dissertation, Case Western Reserve University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=case1054912471

    Chicago Manual of Style (17th edition)

case1054912471
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© 1990, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.