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Some basic half-plane problems of the cohesive elasticity theory with surface energy

Exadaktylos Georgios

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Summary

We outline a procedure for obtaining the relevant influence functions for the cohesive plane strain half-plane with surface energy under any distribution of normal and tangential loads on its bounding surface, in terms of solutions of classical elasticity. This is achieved by modifying the classical isotropic elasticity theory, to account for the existence of higher order terms in the constitutive equations and additional boundary conditions. We also deal with the half-plane problem under concentrated edge forces and under a uniform distribution of shearing tractions, both of which involve load-induced concentrations of stress (or strain), and it is illustrated how the proposed cohesive elasticity theory can remove the strain singularities.

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