Finite Element Formulation for Plates - Handout 4 -

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Weak Form of Reissner-Mindlin Plate -3- ■ Constitutive equations Page 76 ■ For bending moments (same as Kirchhoff plate) ■ For shear forces ■ Note that the curvature is a function of rotation angle and the shear angle is a function of rotation angle and the mid-surface displacement F Cirak
Finite Element Discretization -1- ■ The independent variables in the weak form are and the corresponding test functions Page 77 ■ Weak form contains only so that C 0 -interpolation is sufficient ■ Usual (Lagrange) shape functions such as used in 3D7 can be used ■ Nodal values of variables: ■ Nodal values test functions: ■ Interpolation equations introduced into the kinematic equations yield four-node isoparametric element F Cirak
Page 1 and 2: Finite Element Formulation for Plat
Page 3 and 4: Kinematics of Reissner-Mindlin Plat
Page 5: Weak Form of Reissner-Mindlin Plate
Page 9 and 10: Finite Element Discretization -3- P
Page 11 and 12: Shear Locking Problem -2- Page 81
Page 13 and 14: Constraint Ratio (Hughes et al.) -2
Page 15 and 16: Uniform And Selective Reduced Integ
Page 17: Assumed Strain Elements ■ It is a

Finite Element Formulation for Plates - Handout 4 -

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