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Author:

Liu, Yanan (Liu, Yanan.) | Qin, Fei (Qin, Fei.) (Scholars:秦飞) | Liu, Yinghua (Liu, Yinghua.) | Cen, Zhangzhi (Cen, Zhangzhi.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, Daubechies (DB) wavelet is used for solution of 2D large deformation problems. Because the DB wavelet scaling functions are directly used as basis function, no meshes are needed in function approximation. Using the DB wavelet, the solution formulations based on total Lagrangian approach for two-dimensional large deformation problems are established. Due to the lack of Kroneker delta properties in wavelet scaling functions, Lagrange multipliers are used for imposition of boundary condition. Numerical examples of 2D large deformation problems illustrate that this method is effective and stable.

Keyword:

DB wavelet Large deformation Scaling function Wavelet-Galerkin method

Author Community:

  • [ 1 ] [Liu, Yanan]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China
  • [ 2 ] [Qin, Fei]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China
  • [ 3 ] [Liu, Yinghua]Tsinghua Univ, Sch Aerosp, Beijing 100084, Peoples R China
  • [ 4 ] [Cen, Zhangzhi]Tsinghua Univ, Sch Aerosp, Beijing 100084, Peoples R China

Reprint Author's Address:

  • [Liu, Yanan]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China

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Source :

COMPUTATIONAL MECHANICS

ISSN: 0178-7675

Year: 2010

Issue: 2-3

Volume: 45

Page: 179-187

4 . 1 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 24

SCOPUS Cited Count: 26

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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