Results 1 to 10 of about 372,861 (293)
Evaluation of coupled finite element/meshfree method for a robust full-scale crashworthiness simulation of railway vehicles [PDF]
Advances in Mechanical Engineering, 2016 The crashworthiness of a railway vehicle relates to its passive safety performance. Due to mesh distortion and difficulty in controlling the hourglass energy, conventional finite element methods face great challenges in crashworthiness simulation of ...
Zhao Tang +4 more
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Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method [PDF]
Journal of Applied Mathematics, 2014 We propose a fast stiffness matrix calculation technique for nonlinear finite element method (FEM). Nonlinear stiffness matrices are constructed using Green-Lagrange strains, which are derived from infinitesimal strains by adding the nonlinear terms ...
Emir Gülümser +2 more
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Penalty function method for geometrically nonlinear buckling analysis of imperfect truss with multi-freedom constraints based on mixed FEM [PDF]
E3S Web of Conferences, 2023 This paper is concerned with the approach to implementing the Penalty function method for imposing multi-freedom constraints in geometrically nonlinear analysis of imperfect trusses based on mixed finite element formulation.
Bich Quyen Vu Thi +2 more
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MethodsX, 2023 We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme.
Bishnu P. Lamichhane
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Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM [PDF]
E3S Web of Conferences, 2021 This paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis of frames. The process of imposing boundary constraints is developed by changing the assembly stiffness equation to
Bich Quyen Vu Thi +3 more
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A Finite Element Method for Nonlinear Elliptic Problems [PDF]
SIAM Journal on Scientific Computing, 2013 We present a continuous finite element method for some examples of fully nonlinear elliptic equation. A key tool is the discretisation proposed in Lakkis & Pryer (2011, SISC) allowing us to work directly on the strong form of a linear PDE. An added benefit to making use of this discretisation method is that a recovered (finite element) Hessian is a
Lakkis, Omar, Pryer, Tristan
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Finite Element Simulation of Dent Resistance For Automotive Rear Bumper
European Mechanical Science, 2021 In automotive industry, there is an increasing demand for weight reduction. On the other hand extraordinary style for automotive exteriors are used in order to increase number of sales.
İlker Bahar
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Gradient-Finite Element Method for Nonlinear Neumann Problems [PDF]
Journal of Applied Analysis, 2001 Summary: We consider the numerical solution of quasilinear elliptic Neumann problems \[ \begin{cases} T(u) &\equiv -\text{div}(f(x,\nabla u)\nabla u)= g(x),\\ {\partial u\over\partial\nu}|_{\partial\Omega} &= 0.\end{cases} \] The basic difficulty is the non-injectivity of the operator, which can be overcome by suitable factorization.
Faragó, I., Karátson, J.
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AIMS Mathematics, 2020 In this paper, a semi-discrete finite element method for the nonlinear fluid-structure interaction problem interacts between the Navier-Stokes fluids and linear elastic solids, is studied and developed. A classical mixed variational principle of the weak
Xin Zhao, Xin Liu, Jian Li
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Galerkin finite element method for nonlinear fractional differential equations [PDF]
Numerical Algorithms, 2021 In this paper, we study the existence, regularity, and approximation of the solution for a class of nonlinear fractional differential equations. {In order to do this}, suitable variational formulations are defined for a nonlinear boundary value problems with Riemann-Liouville and Caputo fractional derivatives together with the homogeneous Dirichlet ...
Khadijeh Nedaiasl, Raziyeh Dehbozorgi
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