SHB8PS––a new adaptative, assumed-strain continuum mechanics shell element for impact analysis

Abed‐Meraim, Farid; Combescure, Alain

doi:10.1016/s0045-7949(02)00047-0

Cited by 50 publications

(63 citation statements)

References 29 publications

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“…This orthogonal co-rotational system that is embedded in the element and rotates with the element is chosen to be aligned with the referential coordinate system (see Figure 5). This choice is justified here by the rotation extracted from the polar decomposition of the transformation gradient , 2002. As noticed by (Belytschko et al, 1993), such a co-rotational approach has numerous advantages: simplified expressions for the above stabilization stiffness matrix, whose first two terms vanish; more effective treatment of the shear locking in this frame; the co-rotational system assures a frameinvariant element.…”

Section: Assumed Strain Field and Orthogonal Projectionmentioning

confidence: 99%

“…For the past ten years, much effort has been devoted to the development of solidshell elements dedicated to the finite element modeling of thin structures (Domissy 1997;Cho et al, 1998;Hauptmann et al, 1998Hauptmann et al, , 2001Lemosse 2000;Sze et al, 2000;, 2002Legay et al, 2003;Vu-Quoc et al, 2003;Chen et al, 2004;Kim et al, 2005;Alves de Sousa et al, 2005, 2006, 2007Reese, 2007). This interest is motivated by several requirements that are common in many industrial applications.…”

Section: Introductionmentioning

confidence: 99%

“…The SHB8PS element is one such recently developed element, based on a purely three-dimensional formulation , 2002Legay et al, 2003). This solid-shell element has numerous advantages, one can quote:…”

Section: Introductionmentioning

confidence: 99%

“…It is important to note that the SHB8PS element was first developed within an explicit formulation and implemented into the explicit dynamic code EUROPLEXUS in order to simulate impact problems , 2002. This explicit version was also used to simulate bird ingestion by aircraft gas turbine engines as well as other accidental situations proposed by SNECMA.…”

Section: Introductionmentioning

confidence: 99%

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A physically stabilized and locking-free formulation of the (SHB8PS) solid-shell element

Abed‐Meraim

Combescure

2007

European Journal of Computational Mechanics

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Section: Assumed Strain Field and Orthogonal Projectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A physically stabilized and locking-free formulation of the (SHB8PS) solid-shell element

Abed‐Meraim

Combescure

2007

European Journal of Computational Mechanics

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“…Since they are intended to compete with shell elements, solid-shell elements are expected to have two key features: they contain only displacements as degrees of freedom, and they are able to reproduce the behavior of thin structures by means of a single layer of elements through the thickness. In the last decade, several examples of such formulations have been proposed, and can be found in Domissy [23], Cho et al [24], Hauptmann and Schweizerhof [25], Lemosse [26], Sze and Yao [27], Hauptmann et al [28], Sze and Chan [29], Abed-Meraim and Combescure [30,31], Legay and Combescure [32], Vu-Quoc and Tan [33], Sze et al [34], Chen and Wu [35], Kim et al [36], Alves de Sousa et al [37][38][39], and Reese [40]. It should be noted that most of the methods developed earlier were based on the enhanced assumed strain method proposed by Simo and co-workers (Simo and Rifai [41], Simo and Armero [42], Simo et al [43]), and consisted of either the use of a conventional integration scheme with appropriate control of all locking phenomena or the application of a reduced integration technique with associated hourglass control.…”

Section: Introductionmentioning

confidence: 99%

A new assumed strain solid-shell formulation “SHB6” for the six-node prismatic finite element

2011

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To cite this version:Vuong-Dieu Trinh, Farid Abed-Meraim, Alain Combescure. A new assumed strain solid-shell formulation "SHB6" for the six-node prismatic finite element. Journal of Mechanical Science and Technology, 2011, 25 (9) ----------------------------------------------------------------------------------------------------------------------------------------------------- AbstractThis paper presents the development of a new prismatic solid-shell finite element, denoted SHB6, obtained using a purely threedimensional approach. This element has six nodes with displacements as the only degrees of freedom, and only requires two integration points distributed along a preferential direction, designated as the "thickness". Although geometrically three-dimensional, this element can be conveniently used to model thin structures while taking into account the various phenomena occurring across the thickness. A reduced integration scheme and specific projections of the strains are introduced, based on the assumed-strain method, in order to improve performance and to eliminate most locking effects. It is first shown that the adopted in-plane reduced integration does not generate "hourglass" modes, but the resulting SHB6 element exhibits some shear and thickness-type locking. This is common in linear triangular elements, in which the strain is constant. The paper details the formulation of this element and illustrates its capabilities through a set of various benchmark problems commonly used in the literature. In particular, it is shown that this new element plays a useful role as a complement to the SHB8PS hexahedral element, which enables one to mesh arbitrary geometries. Examples using both SHB6 and SHB8PS elements demonstrate the advantage of mixing these two solid-shell elements.

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A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problems

Schwarze

Reese

2009

Numerical Meth Engineering

143

147

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SUMMARYIn this paper a new reduced integration eight-node solid-shell finite element is presented. The enhanced assumed strain (EAS) concept based on the Hu-Washizu variational principle requires only one EAS degree-of-freedom to cure volumetric and Poisson thickness locking. One key point of the derivation is the Taylor expansion of the inverse Jacobian with respect to the element center, which closely approximates the element shape and allows us to implement the assumed natural strain (ANS) concept to eliminate the curvature thickness and the transverse shear locking. The second crucial point is a combined Taylor expansion of the compatible strain with respect to the center of the element and the normal through the element center leading to an efficient and locking-free hourglass stabilization without rank deficiency. Hence, the element requires only a single integration point in the shell plane and at least two integration points in thickness direction. The formulation fulfills both the membrane and the bending patch test exactly, which has, to the authors' knowledge, not yet been achieved for reduced integration eight-node solid-shell elements in the literature. Owing to the three-dimensional modeling of the structure, fully three-dimensional material models can be implemented without additional assumptions.

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SHB8PS––a new adaptative, assumed-strain continuum mechanics shell element for impact analysis

Cited by 50 publications

References 29 publications

A physically stabilized and locking-free formulation of the (SHB8PS) solid-shell element

A physically stabilized and locking-free formulation of the (SHB8PS) solid-shell element

A new assumed strain solid-shell formulation “SHB6” for the six-node prismatic finite element

A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problems

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