摘要:

AbstractA finite element model for symmetrically loaded shells of revolution is described. The nonlinear geometric effects are accounted for by incrementing loads and iterating for equilibrium. The iteration process also allows for nonlinear materials. The shell model accounts for large strains, large rotations and shear deformation. Three example problems demonstrate the ability of this model to solve linear problems. Also, three example problems demonstrate the versatility and accuracy of this model for nonlinear problems. These nonlinear example problems are an axially loaded cylinder and an internally pressurized spherical shell that have large membrane strains, and a cylinder that deforms into a spherical shape, having large rotations.

ISSN:0029-5981    

DOI:10.1002/nme.1620180112

出版商:John Wiley&Sons, Ltd    

年代:1982

数据来源: WILEY

摘要:

AbstractGiven herein, in abbreviated form, is a discussion of the effects of element internal and edge node location in the finite element‐Galerkin method. The solution dependencies on node placement of many numerical schemes are reviewed. Then, a transient linear one‐dimensional heat conduction problem, solved using the finite element‐Galerkin method, is used for illustration. Results show that, in contrast to many other numerical techniques, if the finite element‐Galerkin method is strictly adhered to with respect to spatial integrations for a given number of nodes in an element, the solution is unaffected by shifting node locations as long as the specific shape of any given element remains unaltered. The reason for this invariance becomes readily apparent upon examining the orthogonality requirements imposed by this

ISSN:0029-5981    

DOI:10.1002/nme.1620180113

出版商:John Wiley&Sons, Ltd    

年代:1982

数据来源: WILEY

摘要:

AbstractThis note compares the use of numerical and closed form integration in computation of element stiffness matrices for axisymmetric finite element analysis. Only constant strain elements are considered. Results obtained with Gaussian quadrature and closed form integrators are compared mutually and with an exact solution obtained from classical methods. The FEM global equations estimate the force‐displacement behaviour of an elastic continuum with an accuracy that depends on the integration method used. Selection of an integration order minimizing error is particularly critical in the presence of high stress gradients. Best results in the vicinity of the axis of revolution may be obtained with single‐point integration rather than higher order approximations or exact integration of the element stiffness matrix. This phenomenon and its consequences are subsequently discus

ISSN:0029-5981    

DOI:10.1002/nme.1620180114

出版商:John Wiley&Sons, Ltd    

年代:1982

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620180116

出版商:John Wiley&Sons, Ltd    

年代:1982

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620180117

出版商:John Wiley&Sons, Ltd    

年代:1982

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620180101

出版商:John Wiley&Sons, Ltd    

年代:1982

数据来源: WILEY