Size-Dependent Steady-State Response of Surface-Loaded Half Plane with Microstructures

This study investigates the microstructural effects on the steady-state dynamic response of a plane-strain half plane excited by harmonic surface loads. The theory of couple-stress elasticity is adopted to simulate the response of materials with microstructures. A closed form of a general solution is derived via the Fourier integral transform method. All unknown coefficients are determined analytically with the aid of boundary and remote conditions. To verify the formulation and implemented solution procedure, results are then compared with available benchmark solutions. Established solutions form a basis for investigating the fundamental role of material microstructures on predicted response and handling contact problems.