Abstract

A displacement methodology for Mindlin elements, recently employed in the development of an efficient, four-node quadrilateral (MIN4), is the basis for a three-node, explicitly integrated triangular element (MIN3). The approach, herein referred to as anisoparametric, is founded upon two kinematic requirements that are auxiliary to the standard convergence criteria. The initial, complete quadratic deflection field is constrained by ‘continuous’ shear edge constraints to achieve an isoparametric-like, three-node configuration. Much success of the element is due to an innovative shear correction factor concept. Several numerical experiments are performed in the linear elasto-static regime to ascertain the element performance.

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