Optimal shape remodelling of linearly elastic plates using finite element methods

Na, Moon-Soo; Kikuchi, Noboru; Taylor, John E.

Na, Moon-Soo; Kikuchi, Noboru; Taylor, John E.

1984-10

Citation: Na, Moon-Soo; Kikuchi, Noboru; Taylor, John E. (1984)."Optimal shape remodelling of linearly elastic plates using finite element methods." International Journal for Numerical Methods in Engineering 20(10): 1823-1840. <http://hdl.handle.net/2027.42/50094>

Abstract: The optimality conditions for the optimal shape remodelling of linearly elastic plates are obtained by introducing the total variation of a function defined on a variable domain, although the variation of a function has been taken on a fixed domain in most literature on calculus of variations. Using these optimality conditions, a solution scheme involving an iterative algorithm is proposed, together with several numerical examples.

ISSN: 0029-5981, 1097-0207

Other DOI(s):
http://dx.doi.org/10.1002/nme.1620201006

Handle:
https://hdl.handle.net/2027.42/50094

Type(s): Article

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