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- W50842008 abstract "Publisher Summary Green's functions for a point dislocation for the bending problem of an infinite thin plate containing an arbitrarily shaped hole under displacement, stress, and mixed boundary conditions and for a bimaterial problem are discussed in this chapter. The point dislocation is defined by the discontinuity of the plate deflection angle. Complex stress functions and rational mapping functions are used in the derivation. The original formulation for these problems consists of two parts, the principal part containing singular terms and a complementary. Solutions for displacement and stress boundary value problems are obtained using the method of analytical continuation without the need of integral computation. For the mixed boundary value problem and the bimaterial problem, the Green's function of a stress boundary value problem is used as the principal part of the corresponding stress functions. Then by using analytical continuation, the problems are reduced to Riemann–Hilbert problems. The stress functions are obtained in closed form. The Green's functions obtained in this chapter can facilitate the analysis of a variety of thin plate bending problems." @default.
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- W50842008 date "2001-01-01" @default.
- W50842008 modified "2023-10-16" @default.
- W50842008 title "Green's Functions for the thin Plate Bending Problem Under Various Boundary Conditions" @default.
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- W50842008 doi "https://doi.org/10.1016/b978-008043948-8/50050-3" @default.
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