A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (9): 809-820.

A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS

陈大鹏, 潘亦甦

Southwest Jiaotong University, Chengdu

收稿日期:1989-06-29 出版日期:1990-09-18 发布日期:1990-09-18
基金资助:
National Natural Science Foundation of China

A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS

Chen Da-peing, Pan Yi-su

Southwest Jiaotong University, Chengdu

Received:1989-06-29 Online:1990-09-18 Published:1990-09-18
Supported by:
National Natural Science Foundation of China

摘要/Abstract

摘要： Based on the potential-hybrid/mixed finite element scheme, 4-node quadrilateral plate-bending elements MP4, MP4a and cylindrical shell element MCS4 are derived with, the inclusion of splitting rotations. All these elements demonstrate favorable convergence behavior over the existing counterparts, free from spurious kinematic mode's and do not exhibit locking phenomenon in thin platef shell limit. Inter-connections between the existing modified variational functionals for the use of formulating C⁰-and C¹-continuous elements are also indicated. Important particularizations of the present scheme include Prathop's consistent field formulation, the RIT/SRIT-compatible displacement model and so on.

Abstract: Based on the potential-hybrid/mixed finite element scheme, 4-node quadrilateral plate-bending elements MP4, MP4a and cylindrical shell element MCS4 are derived with, the inclusion of splitting rotations. All these elements demonstrate favorable convergence behavior over the existing counterparts, free from spurious kinematic mode's and do not exhibit locking phenomenon in thin platef shell limit. Inter-connections between the existing modified variational functionals for the use of formulating C⁰-and C¹-continuous elements are also indicated. Important particularizations of the present scheme include Prathop's consistent field formulation, the RIT/SRIT-compatible displacement model and so on.

陈大鹏;潘亦甦. A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 809-820.

Chen Da-peing;Pan Yi-su. A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 809-820.

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A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS

A POTENTIAL-HYBRID/MIXED FINITE ELEMENT SCHEME FOR ANALYSIS OF PLATES AND CYLINDRICAL SHELLS

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