CLC number: TU311.4; TU383
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2014-04-25
Cited: 3
Clicked: 6497
Yao-zhi Luo, Chao Yang. A vector-form hybrid particle-element method for modeling and nonlinear shell analysis of thin membranes exhibiting wrinkling[J]. Journal of Zhejiang University Science A, 2014, 15(5): 331-350.
@article{title="A vector-form hybrid particle-element method for modeling and nonlinear shell analysis of thin membranes exhibiting wrinkling",
author="Yao-zhi Luo, Chao Yang",
journal="Journal of Zhejiang University Science A",
volume="15",
number="5",
pages="331-350",
year="2014",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1300248"
}
%0 Journal Article
%T A vector-form hybrid particle-element method for modeling and nonlinear shell analysis of thin membranes exhibiting wrinkling
%A Yao-zhi Luo
%A Chao Yang
%J Journal of Zhejiang University SCIENCE A
%V 15
%N 5
%P 331-350
%@ 1673-565X
%D 2014
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1300248
TY - JOUR
T1 - A vector-form hybrid particle-element method for modeling and nonlinear shell analysis of thin membranes exhibiting wrinkling
A1 - Yao-zhi Luo
A1 - Chao Yang
J0 - Journal of Zhejiang University Science A
VL - 15
IS - 5
SP - 331
EP - 350
%@ 1673-565X
Y1 - 2014
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1300248
Abstract: The wrinkling phenomenon is a commonly-known problem in many fields of engineering applications. Using a general structural analysis framework of the vector-form hybrid particle-element method (VHPEM), this paper presents a newly developed shell-based numerical model for the geometrically nonlinear wrinkling analysis of thin membranes. VHPEM is rooted in vector mechanics and physical perspective. It discretizes the analyzed domain into a group of finite particles linked by canonical elements, and the motions of the free particles are governed by Newton’s second law while the constrained ones follow the prescribed paths. An adaptive convected material frame is adopted for a general kinematical description. Internal forces related to the non-zero bending rigidity of a membrane can be efficiently evaluated by the rotation deformation in a set of deformation coordinates after eliminating rigid body motions simply by a fictitious reverse motion. To overcome the numerical difficulties associated with wrinkles, a pseudo-dynamic scheme using the explicit time integration is introduced into this method. Structural nonlinearity can be easily handled without iterative operations or any other special modification. The wrinkling behavior can be readily obtained by performing a pseudo bifurcation analysis incorporated into the VHPEM. The numerical results reveal that the VHPEM has good reliability and accuracy on solving the membrane wrinkling problem.
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