A STUDY OF THREE-NODE TRIANGULAR PLATE BENDING ELEMENTS
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, VOL. 15, 1771-1812 (1980)
A STUDY OF THREE-NODE TRIANGULAR
PLATE BENDING ELEMENTS
JEAN-LOUIS BAT02
Depamment de Ginie Micanique. Universiti de Technologicde Compiigne, Compi&ne, France
KLAUS-JORGEN BATHE AND LEE-WING HO
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachuscits, U.S.A.
SUMMARY
An assessment of flat triangular plate bendingelementswith displacementdegrees-of-freedomat the three comer nodes only is presented, with the purpose of identifyingthe most effective for thin plate analysis.
Based on a review of currently available elements, specific attention is given to the theoretical and numerical evaluation of three triangular 9 degrees-of-freedom elements; namely, a discrete Kirchhoff element, a hybrid stress model (HSM) element and a selective reduced integration (SRI) theory (DKT) element. New and efficient formulationsof these elements are discussed in detail and the results of several example analyses are given. It is concluded that the most efficient and reliable three-node plate bending elements are the DKT and HSM elements.
1. INTRODUCTION
Since the earliest development of the finite element method, a considerable amount of research has been devoted to the analysis of plate and shell structures. A great number of papers have been published on this subject (see, for example, the review papers by Gallagher''2). Considering the research and development efforts, various approaches, theories and variational principles to formulate plate and shell elements have been used to circumvent the difficulties that arise in the analysis of general plates and shells. However, despite the amount of research that has been devoted to the subject, further research effort is still required to provide the practising engineers with reliable, cost-effective and accurate computer to solve various plate assemblies and complex shell
A STUDY OF THREE-NODE TRIANGULAR
PLATE BENDING ELEMENTS
JEAN-LOUIS BAT02
Depamment de Ginie Micanique. Universiti de Technologicde Compiigne, Compi&ne, France
KLAUS-JORGEN BATHE AND LEE-WING HO
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachuscits, U.S.A.
SUMMARY
An assessment of flat triangular plate bendingelementswith displacementdegrees-of-freedomat the three comer nodes only is presented, with the purpose of identifyingthe most effective for thin plate analysis.
Based on a review of currently available elements, specific attention is given to the theoretical and numerical evaluation of three triangular 9 degrees-of-freedom elements; namely, a discrete Kirchhoff element, a hybrid stress model (HSM) element and a selective reduced integration (SRI) theory (DKT) element. New and efficient formulationsof these elements are discussed in detail and the results of several example analyses are given. It is concluded that the most efficient and reliable three-node plate bending elements are the DKT and HSM elements.
1. INTRODUCTION
Since the earliest development of the finite element method, a considerable amount of research has been devoted to the analysis of plate and shell structures. A great number of papers have been published on this subject (see, for example, the review papers by Gallagher''2). Considering the research and development efforts, various approaches, theories and variational principles to formulate plate and shell elements have been used to circumvent the difficulties that arise in the analysis of general plates and shells. However, despite the amount of research that has been devoted to the subject, further research effort is still required to provide the practising engineers with reliable, cost-effective and accurate computer to solve various plate assemblies and complex shell