A family of triangular and tetrahedral elements with rotational degrees of freedom

Bucher, Christian

doi:10.1007/s00707-017-2045-7

Cited by 4 publications

(2 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A topic which has attracted the attention of researchers is to include drilling degree of freedom in their shell elements. In the past decades, plane elements with drilling degree of freedom were widely developed to use in the linear and nonlinear analysis of plane structures [26][27][28][29]. Gradually, this subject was considered in shell elements.…”

Section: Introductionmentioning

confidence: 99%

A 6-parameter triangular flat shell element for nonlinear analysis

Rezaiee‐Pajand

Masoodi

Arabi

2019

TECM

View full text Add to dashboard Cite

In this paper, an improved flat triangular shell element is proposed. This element has three nodes, and in each node, six degrees of freedom are considered. Since there are three rotational degrees of freedom at each node, the drilling effect can be incorporated in authors' formulation. A new procedure is also suggested for updating the director vectors about which the rotational degrees of freedom are defined. In order to study large displacements and rotations, Total Lagrangian principles are employed. In addition, updating the rotational degrees of freedom is implemented using enriched updated director vectors, which are formulated based on the finite rotation method. On the other hand, small strains are considered in this formulation. By utilizing MITC method, shear and membrane locking is mitigated from new element. To examine the performance, the element passes three basic tests, including isotropy, and patch test. Moreover, a convergence study is also implemented to show the elemental behavior. Several popular benchmarks are considered to illustrate the accuracy and capability of the suggested element in geometrically nonlinear analyses.

show abstract

Section: Introductionmentioning

confidence: 99%

A 6-parameter triangular flat shell element for nonlinear analysis

Rezaiee‐Pajand

Masoodi

Arabi

2019

TECM

View full text Add to dashboard Cite

show abstract

“…Since then, a great number of papers on this topic have appeared and various elements with Allman-type drilling DOFs were proposed. Some recent attempts include but are not limited to (Bucher, 2018;Leonetti et al, 2017;Boutagouga, 2017;Boutagouga and Djeghaba, 2016;Shin and Lee, 2014;Wisniewski and Turska, 2012). However, it should be noted that, the Allman-type drilling degree is not the Cauchy continuum rotation and has no definite physical interpretations.…”

Section: Introductionmentioning

confidence: 99%

High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments

Shang

Cen

Qian

et al. 2018

View full text Add to dashboard Cite

Purpose This paper aims to propose a simple but robust three-node triangular membrane element with rational drilling DOFs for efficiently analyzing plane problems. Design/methodology/approach This new element is developed within the general framework of unsymmetric FEM. The element test functions are determined by using a conforming displacement field which is slightly different with the classical Allman’s interpolations, while a self-equilibrated stress field formulated based on the analytical airy stress solutions is adopted as the trial functions. To ensure the correctness between the drilling DOFs and the true rotations in elasticity, reasonable constraints are introduced through the penalty function method. Moreover, the special quadrature strategy is used for operating related integrations for future enrichment of element behavior. Findings Numerical benchmark tests reveal that this new triangular membrane element has exceptional prediction capabilities. In particular, this element can correctly reproduce a rigid body rotation motion and correctly undertake the external in-plane twisting moments; thus, it is a reasonable choice for being used to formulate flat shell elements or to be connected with other kind of elements with physical rotational DOFs. Originality/value This work provides a new approach for developing high-performance lower-order elements with simple formulations and good numerical accuracies.

show abstract

A Review on Membrane Finite Elements with Drilling Degree of Freedom

Boutagouga

2020

Arch Computat Methods Eng

View full text Add to dashboard Cite

A family of triangular and tetrahedral elements with rotational degrees of freedom

Cited by 4 publications

References 16 publications

A 6-parameter triangular flat shell element for nonlinear analysis

A 6-parameter triangular flat shell element for nonlinear analysis

High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments

A Review on Membrane Finite Elements with Drilling Degree of Freedom

Contact Info

Product

Resources

About