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A differential quadrature hierarchical finite element method

Record Type:	Electronic resources : Monograph/item
Title/Author:	A differential quadrature hierarchical finite element methodBo Liu ... [et al.].
other author:	Liu, Bo,
Published:	Singapore :World Scientific,c2022.
Description:	1 online resource (652 p.)
Subject:	Finite element method.
Online resource:	https://www.worldscientific.com/worldscibooks/10.1142/12271#t=toc
ISBN:	9789811236761$q(ebook)

A differential quadrature hierarchical finite element method
A differential quadrature hierarchical finite element method[electronic resource] /Bo Liu ... [et al.]. - Singapore :World Scientific,c2022. - 1 online resource (652 p.)

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.

"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."--

Mode of access: World Wide Web.

ISBN: 9789811236761$q(ebook)

LCCN: 2021009806Subjects--Topical Terms:

184533
Finite element method.

LC Class. No.: QC20.7.F56 / D569 2022

Dewey Class. No.: 518.25

A differential quadrature hierarchical finite element method
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245 0 2 $a A differential quadrature hierarchical finite element method $h [electronic resource] / $c Bo Liu ... [et al.].
260 $a Singapore : $b World Scientific, $c c2022.
300 $a 1 online resource (652 p.)
504 $a Includes bibliographical references and index.
505 0 $a 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.
520 $a "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."-- $c Publisher's website.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Description based on print version record.
650 0 $a Finite element method. $3 184533
650 0 $a Quadrature domains. $3 931268
650 0 $a Differential equations $x Numerical solutions. $3 199018
650 0 $a Structural analysis (Engineering) $x Mathematical models. $3 210853
700 1 $a Liu, Bo, $d 1981- $3 931267
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/12271#t=toc