Finite Element Analysis Of Shell Structures With An Eighteen Node Three Dimensional Solid Element Based On A New Mixed Formulation
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Computational Structural Mechanics & Fluid Dynamics
Computational structural mechanics (CSM) and computational fluid dynamics (CFD) have emerged in the last two decades as new disciplines combining structural mechanics and fluid dynamics with approximation theory, numerical analysis and computer science. Their use has transformed much of theoretical mechanics and abstract science into practical and essential tools for a multitude of technological developments which affect many facets of our life. This collection of over 40 papers provides an authoritative documentation of major advances in both CSM and CFD, helping to identify future directions of development in these rapidly changing fields. Key areas covered are fluid structure interaction and aeroelasticity, CFD technology and reacting flows, micromechanics, stability and eigenproblems, probabilistic methods and chaotic dynamics, perturbation and spectral methods, element technology (finite volume, finite elements and boundary elements), adaptive methods, parallel processing machines and applications, and visualization, mesh generation and artificial intelligence interfaces.
Finite Element Analysis of Shell Structures with an Eighteen-node Three Dimensional Solid Element Based on a New Mixed Formulation
An eighteen node, three dimensional, solid element with 54 degrees of freedom is presented for the finite element analysis of thin plates and shells. The element is based on the Hellinger Reissner principle with independent assumed strain. The independent strain is divided into higher and lower order terms. A modified stress strain relation decoupling inplane and normal strain is used to model thin shell behavior. Numerical results demonstrate that this element is effectively free of locking even for very thin plates and shells. In addition, the element is kinematically stable. In fact, the stiffness matrix associated with the higher order independent strain is a stabilization matrix. Theses. (JHD).