Development of a Reduced Mindlin Hybrid Stress Thin Multilayer Plate Element with Application to Edge Contact Problems.
Final rept. 15 Aug 81-15 Jun 83,
ILLINOIS UNIV AT CHICAGO CIRCLE DEPT OF CIVIL ENGINEERING MECHANICS AND METALLURGY
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A hybrid-stress formulation of isoparametric elements for the analysis of thin multilayer laminated composite plates is presented, and is applied to edge contact analyses. The element displacement behavior is characterized by laminate reference surface inplane and transverse displacements and laminate non-normal cross-section rotations as a result, the number of degrees of freedom is independent of the number of layers. All components of stress are included and are related to a set of laminate stress parameters, the number of which is independent of the number of layers. Attention is restricted here to thin laminates for thin laminates it is shown that the contributions of transverse shear stress and transverse normal stress to the internal complementary strain energy can be neglected. As a result, a modified stiffness-formation-algorithm can be used which provides a significant improvement in computation efficiency. The formulation is used to develop an 8-node isoparametric thin multilayer plate element. The resulting element is naturally invariant, of correct rank, and non-locking in the thin plate limit. Element performance is documented here for several illustrative examples. Keywords Finite element analysis Composite materials elastic shells.
- Laminates and Composite Materials