A FIELD-CONSISTENT AND VARIATIONALLY CORRECT REPRESENTATION OF TRANSVERSE-SHEAR STRAINS IN THE 9-NODED PLATE ELEMENT

被引：13

作者：

NAGANARAYANA, BP ^{[1
]}

PRATHAP, G ^{[1
]}

DATTAGURU, B ^{[1
]}

RAMAMURTY, TS ^{[1
]}

机构：

[1] INDIAN INST SCI, DEPT AEROSP ENGN, BANGALORE 560012, KARNATAKA, INDIA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1992年 / 97卷 / 03期

关键词：

D O I：

10.1016/0045-7825(92)90051-K

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a biquadratic Lagrangian plate bending element with consistent fields for the constrained transverse shear strain functions. A technique involving expansion of the strain interpolations in terms of Legendre polynomials is used to redistribute the kinematically derived shear strain fields so that the field-consistent forms (i.e. avoiding locking) are also variationally correct (i.e. do not violate the variational norms). Also, a rational method of isoparametric Jacobian transformation is incorporated so that the constrained covariant shear strain fields are always consistent in whatever general quadrilateral form the element may take. Finally the element is compared with another formulation which was recently published. The element is subjected to several robust bench mark tests and is found to pass all the tests efficiently.

引用

页码：355 / 374

页数：20

共 22 条

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