Cuiyun Liu – författare

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.

This book is a comprehensive and in-depth work that combines the author's years of teaching, research and software development experience in computational solid mechanics. It covers the main basic knowledge and theories of computational solid mechanics, and also has certain practicality and innovation. The book is divided into eight chapters: general problems and nonlinearity in solid mechanics; Galerkin approximation: irreducible form and mixed form; finite element analysis of trusses and beams; finite element analysis of two-dimensional and three-dimensional solids; finite element analysis of plates and solid shells; Cartesian tensors; finite element analysis of elastoplastic problems; finite element analysis of geometric nonlinear problems. This book can be used as a textbook for postgraduate students majoring in computational solid mechanics and related fields in colleges and universities, and also as a reference book for scholars and engineering technicians in the field of computational solid mechanics and related fields.