First failure load of sandwich beams under transient loading using a space–time coupled finite element method

We numerically analyze transient plane stress deformations of linearly elastic laminates and sandwich structures by using a coupled space–time finite element method with the weak form governing equations derived least-squares method. The are written as seven first-order partial differential in state space formulation, each variable is approximated piece-wise continuous basis functions. sum integral over problem (space-time) domain squares residuals equations, initial boundary conditions minimized respect to nodal values variables deduce linear algebraic equations. developed software verified comparing computed results for sample problems their either analytical or numerical solutions obtained commercial software, ABAQUS. Using statistical Tsai–Wu failure criterion, sensitivities maximum deflection first load beam’s aspect ratio (AR), facesheet-core thickness (FCTR), in-plane transverse stiffness ratios (FCISR, FCTSR) elucidated. For beams equal FCISR FCTSR, sensitive AR FCTR. In general, they strongly depend upon FCTSR its interaction • Analysis Statistical analysis among various geometric parameters on structure’s response. State-space formulation accurately compute stresses.