Deformations Due To Explosive And Implosive Loads Of Sandwich Cylinders Using Third Order Shear And Normal Deformable Theory (Tsndt)

We use an equivalent single layer third order shear and normal deformable shell theory (TSNDT) to study deformations of a linear elastic sandwich cylinder under implosive and explosive loads applied on a part of the cylinder mantle. In the TSNDT the three displacement components at a point are expressed as complete polynomials of degree three in the thickness coordinate. We find in-plane stresses from the constitutive relations and the TSNDT displacement field, and compute transverse stresses by using a stress recovery scheme in which the 3-dimensional (3-D) equations for the balance of linear momentum are integrated over the thickness of the cylinder. No shear correction factor is used. We first compare results predicted by the TSNDT with those obtained by analyzing 3-D deformations with the finite element commercial software, ABAQUS, and establish that the TSNDT gives accurate results by using considerably fewer degrees of freedom than those needed for solving the problem by the finite element method and the 3-D linear elasticity theory. It is found that bending deformations are dominant in the face sheets but transverse shear deformations in the core for both explosive and implosive loads.