Finite Elements of Nonlinear Continua

analysis applications arbitrary Argyris assumed Banach space basis functions behavior boundary Clausius-Duhem inequality coefficients components computed conjugate connected model consider constant constitutive equations constitutive functionals continuum mechanics convergence coordinates corresponding curvilinear coordinates defined denote derivatives differential discrete model displacement field Do(e domain energy entropy equations of motion example Finite Element Method finite-element approximations finite-element model finite-element representations forces function F(X G₁ global gradients heat Hilbert space hydrostatic pressure incremental inner-product space integral interpolation functions introduce isotropic iteration loading matrix method Newton-Raphson Newton-Raphson method nodal displacements nodal points node nonlinear norm obtained Oden particle polynomial problems properties reference configuration sequence simple materials simplex models solid solution stiffness relations strain strain-energy function subspace surface temperature Theorem theory thermomechanical Truesdell typical finite element undeformed vector vo(e