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Folded shells: A variational approach. (English) Zbl 0780.73043
Folded shells are characterized by the fact that their regular part is a smooth two-dimensional surface in $$\mathbb{R}^ 3$$ and their singular part is a smooth curve in $$\mathbb{R}^ 3$$. The theory starts from a three- dimensional elastic body passing to the limit “thickness $$\to 0$$”. The investigation is based on a variational method and results in the physical elucidation of the convergence of the minimizing sequence of the approximating problems to the solution of a limiting minimization problem. The case of a smooth curve in $$\mathbb{R}^ 2$$ with a point in $$\mathbb{R}^ 2$$ as its singular part is considered also. Two examples are presented.

##### MSC:
 74K15 Membranes 74S30 Other numerical methods in solid mechanics (MSC2010) 74P10 Optimization of other properties in solid mechanics
##### Keywords:
regular part; singular part; convergence; minimizing sequence
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##### References:
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