Riemann–Hilbert problem on a hyperelliptic surface and uniformly stressed inclusions embedded into a half-plane subjected to antiplane strain

An inverse problem of the elasticity n elastic inclusions embedded into an half-plane is analysed. The boundary free traction. and are subjected to antiplane shear, conditions ideal contact hold in interfaces between half-plane. shapes not prescribed have be determined by enforcing uniform stresses inside inclusions. method conformal mappings from a slit domain onto ( + 1 stretchy="false">) -connected physical worked out. It shown that recover map inclusions, one needs solve vector Riemann–Hilbert on genus- hyperelliptic surface. In particular case loading, reduces two scalar problems slits elliptic case, addition three parameters model, possesses geometric parameter. results numerical tests show impact these inclusion shape.