AIAA Journal Nov. 2009, Vol. 47: 2757-2769.
lunes, 26 de octubre de 2009
Theorem of Expended Power and Finite Element Formulation: Hamiltonian Mechanics Framework
AIAA Journal Nov. 2009, Vol. 47: 2757-2769.
Numerical Investigation of Constrained Direct Solutions Using Hamilton's Law
AIAA Journal Nov. 2009, Vol. 47: 2747-2756.
Assessment of Computational Fluid Dynamics for Supersonic Shock Containing Jets
AIAA Journal Nov. 2009, Vol. 47: 2738-2746.
Numerical Investigation of Decomposed Magnetofluid Dynamics Equations
AIAA Journal Nov. 2009, Vol. 47: 2666-2675.
Interface Conditions of Finite Difference Compact Schemes for Computational Aeroacoustics
AIAA Journal Nov. 2009, Vol. 47: 2658-2665.
A multiscale finite element formulation for axisymmetric elastoplasticity with volumetric locking
Similar to plane strain, axisymmetric stress problem is also highly kinematics constrained. Standard displacement-based finite element exhibits volumetric locking issue in simulating nearly/fully incompressible material or isochoric plasticity under axisymmetric loading conditions, which severely underestimates the deformation and overestimates the bearing capacity for structural/geotechnical engineering problems. The aim of this paper is to apply variational multiscale method to produce a stabilized mixed displacement-pressure formulation, which can effectively alleviate the volumetric locking issue for axisymmetric stress problem. Both nearly incompressible elasticity and isochoric J2 elastoplasticity are investigated. First-order 3-node triangular and 4-node quadrilateral elements are tested for locking issues. Severalrepresentative simulations are provided to demonstrate the performance of the linear elements, which include the convergence study and comparison with closed-form solutions. A comparative study with pressure Laplacian stabilized formulation is also presented. Copyright © 2009 John Wiley & Sons, Ltd.
Computational aspects in 2D SBEM analysis with domain inelastic actions
The Symmetric Boundary Element Method, applied to structures subjected to temperature and inelastic actions, shows singular domain integrals.In the present paper the strong singularity involved in the domain integrals of the stresses and tractions is removed, and by means of a limiting operation, this traction is evaluated on the boundary. First the weakly singular domain integral in the Somigliana Identity (S.I.) of the displacements is regularized and the singular integral is transformed into a boundary one using the Radial Integration Method; subsequently, using the differential operator applied to the displacement field, the S.I. of the tractions inside the body is obtained and through a limit operation its expression is evaluated on the boundary. The latter operation makes it possible to substitute the strongly singular domain integral in a strongly singular boundary one, defined as a Cauchy Principal Value, with which the related free term is associated. The expressions thus obtained for the displacements and the tractions, in which domain integrals are substituted by boundary integrals, were utilized in the Galerkin approach, for the evaluation in closed form of the load coefficients connected to domain inelastic actions.This strategy makes it possible to evaluate the load coefficients avoiding considerable difficulties due to the geometry of the solid analyzed; the obtained coefficients were implemented in the Karnak.sGbem calculus code. Copyright © 2009 John Wiley & Sons, Ltd.
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