Transcription of Chapter 10 – Isoparametric Elements - Memphis
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Chapter 10 – Isoparametric Elements - Memphis
Chapter 10 Isoparametric ElementsLearning Objectives To formulate the Isoparametric formulation of thebar element stiffness matrix To present the Isoparametric formulation of theplane four-noded quadrilateral (Q4) elementstiffness matrix To describe two methods for numericalintegration Newton-Cotes and GaussianQuadrature used for evaluation of definiteintegrals To solve an explicit example showing theevaluation of the stiffness matrix for the planequadrilateral element by the four-point Gaussianquadrature ruleChapter 10 Isoparametric ElementsLearning Objectives To illustrate by example how to evaluate thestresses at a given point in a plane quadrilateralelement using Gaussian quadrature To evaluate the stiffness matrix of the three-nodedbar using Gaussian quadrature and compare theresult to that found by explicit evaluation of thestiffness matrix for the bar To describe some higher-order shape functions forthe three-noded linear strain bar, the improvedbilinear quadratic (Q6)
quadrilateral element by the four-point Gaussian quadrature rule Chapter 10 – Isoparametric Elements Learning Objectives • To illustrate by example how to evaluate the stresses at a given point in a plane quadrilateral element using Gaussian quadrature • To evaluate the stiffness matrix of the three-noded bar using Gaussian quadrature and ...
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