Three-dimensional analysis for transient coupled thermoelastic response of a functionally graded rectangular plate

摘要: Abstract The generalized coupled thermoelasticity based on the Lord–Shulman theory is considered to study transient thermoelastic response of functionally graded rectangular plates. state equations plate subjected time-dependent thermal loads were established by using space approach, in which three displacement components, stress temperature and heat flux chosen as variables. By giving simply supported boundary conditions assuming that material properties have an exponential law distribution along thickness-coordinate, solved numerical Laplace transformations shooting methods for responses a dimensional due shock its top surface. Effects volume fraction distributions constituents responses, including change, stresses investigated.