Abstract
Solution of the mixed boundary value problem for thin plate bending with two external force and two displacement boundaries is derived. General solution is derived using a rational mapping and complex stress functions. A semi-infinite plate with two displacemen constraints within a semi-elliptic notch under uniform bending is considered as an application. Stress distributions, stress intensity of debonding at the tip of the displacement constraint, stress concentration factors at the bottom of the semi-elliptic notch, and stress intensity factors when the semi-elliptic notch is changed into an edge crack are calculated. Besides, a general solution for one external force boundary and one displacement boundary is also derived.
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