A class of mixed assumed strain methods and the method of incompatible modes Export

@article{citeulike:1804296, abstract = {A three-field mixed formulation in terms of displacements, stresses and an enhanced strain field is presented which encompasses, as a particular case, the classical method of incompatible modes. Within this frame-work, incompatible elements arise as particular lsquocompatiblersquo mixed approximations of the enhanced strain field. The conditions that the stress interpolation contain piece-wise constant functions and be L2-ortho-gonal to the enhanced strain interpolation, ensure satisfaction of the patch test and allow the elimination of the stress field from the formulation. The preceding conditions are formulated in a form particularly convenient for element design. As an illustration of the methodology three new elements are developed and shown to exhibit good performance: a plane 3D elastic/plastic QUAD, an axisymmetric element and a thick plate bending QUAD. The formulation described herein is suitable for non-linear analysis.}, address = {Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, U.S.A.}, author = {Simo, J. C. and Rifai, M. S.}, citeulike-article-id = {1804296}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/nme.1620290802}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/110548807/ABSTRACT}, doi = {10.1002/nme.1620290802}, issn = {1097-0207}, journal = {International Journal for Numerical Methods in Engineering}, keywords = {eas-method}, number = {8}, pages = {1595--1638}, posted-at = {2007-10-22 06:36:55}, priority = {2}, title = {A class of mixed assumed strain methods and the method of incompatible modes}, url = {http://dx.doi.org/10.1002/nme.1620290802}, volume = {29}, year = {1990} }

TY - JOUR ID - citeulike:1804296 L3 - citeulike-article-id:1804296 N2 - A three-field mixed formulation in terms of displacements, stresses and an enhanced strain field is presented which encompasses, as a particular case, the classical method of incompatible modes. Within this frame-work, incompatible elements arise as particular lsquocompatiblersquo mixed approximations of the enhanced strain field. The conditions that the stress interpolation contain piece-wise constant functions and be L2-ortho-gonal to the enhanced strain interpolation, ensure satisfaction of the patch test and allow the elimination of the stress field from the formulation. The preceding conditions are formulated in a form particularly convenient for element design. As an illustration of the methodology three new elements are developed and shown to exhibit good performance: a plane 3D elastic/plastic QUAD, an axisymmetric element and a thick plate bending QUAD. The formulation described herein is suitable for non-linear analysis. IS - 8 JF - International Journal for Numerical Methods in Engineering SN - 1097-0207 AD - Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, U.S.A. EP - 1638 TI - A class of mixed assumed strain methods and the method of incompatible modes VL - 29 SP - 1595 KW - eas-method AU - Simo, JC AU - Rifai, MS PY - 1990/// UR - http://dx.doi.org/10.1002/nme.1620290802 ER -