附註:Includes bibliographical references and index.
An overview of high order methods for structural mechanics -- A differential quadrature finite element method -- The differential quadrature hierarchical finite element method for mindlin plates -- The differential quadrature hierarchical finite element method for plane problems -- The hierarchical quadrature element method for 3D solids -- The hierarchical quadrature element method for Kirchhoff plates -- The hierarchical quadrature element method for shells in orthogonal curvilinear coordinate system -- The hierarchical quadrature element method for isotropic and composite laminated general shells -- Hierarchical quadrature element method for geometrically nonlinear problems -- The hierarchical quadrature element method for incremental elasto-plastic analysis -- Curved p-version C1 finite elements for the finite deformation analysis of isotropic and composite laminated thin shells -- Incorporation of the hierarchical quadrature element method with isogeometric analysis.
摘要:"The differential quadrature hierarchical finite element method (DQHFEM) was proposed by Bo Liu. This method incorporated the advantages and the latest research achievements of the hierarchical finite element method (HFEM), the differential quadrature method (DQM) and the isogeometric analysis (IGA). The DQHFEM also overcame many limitations or difficulties of the three methods. This unique compendium systemically introduces the construction of various DQHFEM elements of commonly used geometric shapes like triangle, tetrahedrons, pyramids, etc. Abundant examples are also included such as statics and dynamics, isotropic materials and composites, linear and nonlinear problems, plates as well as shells and solid structures. This useful reference text focuses largely on numerical algorithms, but also introduces some latest advances on high order mesh generation, which often has been regarded as the major bottle neck for the wide application of high order FEM."--
