Development of a wrinkling algorithm for orthotropic membrane materials

Raible, T.; Tegeler, K.; Löhnert, Stefan; Wriggers, Peter

doi:10.1016/j.cma.2004.07.045

Cited by 35 publications

(29 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Muttin [14] derived a quadrilateral finite element that is based on Roddeman's work and Lu et al [8] extended Muttin's work by deriving explicit equations for the force vector and tangent stiffness matrix. Further publications that emerged from the paper by Wu and Canfield are, for example, Kang and Im [5], Schoop et al [21], Raible et al [16] and Mosler [13].…”

Section: Literature Reviewmentioning

confidence: 99%

Simulation of tension fields with in-plane rotational degrees of freedom

Pagitz

Abdalla

2010

Comput Mech

View full text Add to dashboard Cite

This paper introduces a novel multigrid approach for the geometric non-linear simulation of tension fields on the basis of a three-node membrane finite element. The element possesses, in addition to the nodal displacement degrees of freedom, an in-plane rotational degree of freedom inside the element domain that controls the direction of the tension field. This rotational degree of freedom allows the enforcement of continuity and tension field boundary conditions on the basis of a coarser mesh with varying size.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Simulation of tension fields with in-plane rotational degrees of freedom

Pagitz

Abdalla

2010

Comput Mech

View full text Add to dashboard Cite

show abstract

“…To investigate the functionality of the implemented code for a membrane wrinkling simulation, a benchmark example as in (Leifer and Belvin, 2003;Raible et al, 2005;Wong and Pellegrino, 2006b) is reproduced here first. This example presents a study of the formation and growth of wrinkles in an initially flat rectangular membrane, which was clamped along the lower edge while the upper one was allowed to move only in the horizontal direction under in-plane shear loadings.…”

Section: Rectangular Thin-film Membrane Subject To In-plane Shear Loamentioning

confidence: 99%

A vector-form hybrid particle-element method for modeling and nonlinear shell analysis of thin membranes exhibiting wrinkling

Luo

Yang

2014

J. Zheijang Univ.-Sci.

View full text Add to dashboard Cite

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.

show abstract

“…See [Libai and Simmonds 1998, Chapters 5 and 7] for a detailed exposition on the subject and additional references. Recent publications making computational use of wrinkle fields for various applications include [Raible et al 2005;Cavicchi et al 2009;Mosler and Cirak 2009;Liu and Sze 2009].…”

Section: Introductionmentioning

confidence: 99%

An axisymmetric parachute model with wrinkling

Ofir¹,

Givoli²,

Libai³

2011

J. Mech. Mater. Struct.

View full text Add to dashboard Cite

We are honored to dedicate this paper to Charles Steele and to the memory of Marie-Louise Steele. Charles was my admired teacher at Stanford, and has opened my eyes to the wonderful world of shells. Marie-Louise was a friend who always had a few warm words for a PhD student undergoing stressful times.I will always remember her very fondly. -Dan GivoliThe deformation and stresses in a parachute canopy are analyzed, using an axisymmetric model. The canopy is modeled as an ideal or nearly ideal elastic membrane shell. Steady state is assumed. No restriction is imposed on the size of the deformation, and thus the problem is strongly nonlinear. Wrinkles which form over parts of the surface are taken into consideration approximately via the use of wrinkle fields (tension fields). The solution is obtained by a double-iteration numerical procedure, based on a shooting technique and incremental loading. First a basic parachute model is considered in which the material is assumed isotropic and Hookean, the pressure distribution is assumed uniform (but with unknown magnitude), and the canopy is assumed to have a small central hole. Later all these assumptions are relaxed. Numerical examples are presented for some representative cases.

show abstract

Development of a wrinkling algorithm for orthotropic membrane materials

Cited by 35 publications

References 14 publications

Simulation of tension fields with in-plane rotational degrees of freedom

Simulation of tension fields with in-plane rotational degrees of freedom

A vector-form hybrid particle-element method for modeling and nonlinear shell analysis of thin membranes exhibiting wrinkling

An axisymmetric parachute model with wrinkling

Contact Info

Product

Resources

About