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Showing 1 to 8 of 8 for “"Lagrangian Finite Element"”.
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An Eulerian-Lagrangian finite element method for modeling crack growth in creeping materials
… This study is concerned with the development of finite element solution methods for the analysis of quasi-static, ductile crack growth in history-dependent materials. The mixed Eulerian-Lagrangian description (ELD) kinematic model is shown to have several desirable properties for modeling …
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Nonlinear Stability Analysis of Frame-Type Structures with Random Geometric Imperfections Using a Total-Lagrangian Finite Element Formulation
… the development of a three-dimensional total Lagrangian beam finite element that is used to determine the critical load for the structure. The second part deals with a least squares method for modeling the random initial imperfections using the mo de shapes from a linear buckling analysis, and …
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An operator-customized wavelet-finite element approach for the adaptive solution of second-order partial differential equations on unstructured meshes
The Finite Element Method (FEM) is a widely popular method for the numerical solution of Partial Differential Equations (PDE), on multi-dimensional unstructured meshes. Lagrangian finite elements, which preserve C⁰ continuity with interpolating piecewise-polynomial shape functions, are a common …
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Stochastic finite element analyses of uncertain nonlinear plane trusses under random excitations
A method of stochastic finite element analysis is developed in this study to solve for the response statistics and reliability of nonlinear truss structures with uncertain system parameters under random excitations. Emphasis is on structural nonlinear behavior due to both large deflection and …
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A Comparative Study of Segmented Tungsten Rod Penetration Into a Thick Steel Target Plate
… rod projectiles (SRP) penetrating an RHA semi-infinite target plate at high velocities. Penetration experimental data show improved penetration efficiency by the segmented projectiles when compared to monolithic (single solid rod) projectiles. For SRP with an aspect ratio (L/D) = 1/8, a loss in …
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Nonlinear probabilistic finite element modeling of composite shells
A probabilistic finite element analysis procedure for laminated composite shells has been developed. A total Lagrangian finite element formulation, employing a degenerated 3-D laminated composite shell element with the full Green-Lagrange strains and first-order shear deformable kinematics, forms …
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Parallel algorithms applied to problems in two dimensional detonation shock dynamics
… variables were then to be used as inputs for a Lagrangian finite element code to determine the shape of the jet that is formed by the detonation shock pressure crushing the liner. Through a set of constrained objective functions, a nonlinear optimizer, a shape can be found that has optimal jet …
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Structural Vulnerability of Coastal Bridges Under Hurricane Conditions
… hurricane-induced wave impact. High-fidelity finite element (FE) models were developed within ABAQUS, utilizing a Coupled Eulerian Lagrangian (CEL) analysis, to provide a cost-effective approach for evaluating bridge behavior under various hydrodynamic conditions. An experimental scaled model …