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A Review on Membrane Finite Elements with Drilling Degree of Freedom
https://orcid.org/0000-0003-1360-7488
Abstract Membrane finite elements have gained increasing importance since the early years of the finite elements method due to their convenience to a wide range of plane and 3D shell problems. Many research works have been focussing on membrane elements with drilling rotation. These elements are plane stress finite elements with a rotational in-plane degree of freedom. The main motivation for introducing the drilling rotation into membrane/shell elements is to improve the accuracy of the model and to avoid the problem of singularity of the stiffness matrix of shell elements in a natural way. In this article, a comprehensive review has been written for both new and expert researchers in the field. By summarizing the basic theories that have been used, new researchers can get clarification on the relevant computational methods and, gradually get familiarized with the advantages and drawbacks of each formulation. Expert researchers in the field can track-back the history of membrane elements with drilling rotation through a comprehensive review of relevant references.
A Review on Membrane Finite Elements with Drilling Degree of Freedom
https://orcid.org/0000-0003-1360-7488
Abstract Membrane finite elements have gained increasing importance since the early years of the finite elements method due to their convenience to a wide range of plane and 3D shell problems. Many research works have been focussing on membrane elements with drilling rotation. These elements are plane stress finite elements with a rotational in-plane degree of freedom. The main motivation for introducing the drilling rotation into membrane/shell elements is to improve the accuracy of the model and to avoid the problem of singularity of the stiffness matrix of shell elements in a natural way. In this article, a comprehensive review has been written for both new and expert researchers in the field. By summarizing the basic theories that have been used, new researchers can get clarification on the relevant computational methods and, gradually get familiarized with the advantages and drawbacks of each formulation. Expert researchers in the field can track-back the history of membrane elements with drilling rotation through a comprehensive review of relevant references.
A Review on Membrane Finite Elements with Drilling Degree of Freedom
https://orcid.org/0000-0003-1360-7488
Abstract Membrane finite elements have gained increasing importance since the early years of the finite elements method due to their convenience to a wide range of plane and 3D shell problems. Many research works have been focussing on membrane elements with drilling rotation. These elements are plane stress finite elements with a rotational in-plane degree of freedom. The main motivation for introducing the drilling rotation into membrane/shell elements is to improve the accuracy of the model and to avoid the problem of singularity of the stiffness matrix of shell elements in a natural way. In this article, a comprehensive review has been written for both new and expert researchers in the field. By summarizing the basic theories that have been used, new researchers can get clarification on the relevant computational methods and, gradually get familiarized with the advantages and drawbacks of each formulation. Expert researchers in the field can track-back the history of membrane elements with drilling rotation through a comprehensive review of relevant references.
A Review on Membrane Finite Elements with Drilling Degree of Freedom
Boutagouga, Djamel (author)
2020
Article (Journal)
Electronic Resource
English
On membrane elements with drilling degrees of freedom in topology optimization
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FINITE ELEMENTS OF THE PLANE PROBLEM OF THE THEORY OF ELASTICITY WITH DRILLING DEGREES OF FREEDOM
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Three dimensional variable node solid elements with drilling degrees of freedom
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Two simple membrane elements with vertex degrees of freedom
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