TY - JOUR ID - 68742 TI - Impact of Integration on Straining Modes and Shear-Locking for Plane Stress Finite Elements JO - Civil Engineering Infrastructures Journal JA - CEIJ LA - en SN - 2322-2093 AU - Ghassemieh, Mehdi AU - Badrkhani Ajaei, Behrouz AD - Professor, School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran. AD - Department of Civil Engineering, Boğaziçi University, Istanbul, Turkey. Y1 - 2018 PY - 2018 VL - 51 IS - 2 SP - 425 EP - 443 KW - Finite Elements KW - Plane Stress KW - Reduced Integration KW - Shear Locking KW - Straining Modes DO - 10.7508/ceij.2018.02.011 N2 - Stiffness matrix of the four-node quadrilateral plane stress element is decomposed into normal and shear components. A computer program is developed to obtain the straining modes using adequate and reduced integration. Then a solution for the problem of mixing straining modes is found. Accuracy of the computer program is validated by a closed-form stiffness matrix, derived for the plane rectangular as well as square element. It is shown that method of integration has no effect on the straining modes, but it influences the eigenvalues of the bending modes. This effect is intensified by increasing the element aspect ratio, confirming the occurrence of shear locking. UR - https://ceij.ut.ac.ir/article_68742.html L1 - https://ceij.ut.ac.ir/article_68742_1f55996ad61b6ca5ff2cbc5b325cd8fd.pdf ER -