Particle Finite Element Methods in Solid Mechanics Problems

2007 ◽  
pp. 87-103 ◽  
Author(s):  
J. Oliver ◽  
J. C. Cante ◽  
R. Weyler ◽  
C. González ◽  
J. Hernandez
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Solid Mechanics

Practical Aspects of Finite Element Computations in Solid Mechanics

1986 ◽  
Vol 39 (11) ◽  
pp. 1678-1681 ◽  
Author(s):  
H. D. Hibbitt
Keyword(s):  
Finite Element ◽  
Numerical Method ◽  
Finite Element Methods ◽  
Solid Mechanics ◽  
Computer Language ◽  
Temporal Discretization ◽  
Material Behaviors ◽  
Algorithmic Problems ◽  
Computational Aspects ◽  
Language Environment

The paper focuses on practical aspects of the prospective use of finite element methods in problems in solid mechanics. It looks briefly at the computer and computer language environment in which the methods are used, and at the computational aspects of the numerical method itself. The fundamental algorithmic problems (spatial and temporal discretization, and the modeling of realistic material behaviors) are reviewed from an applications viewpoint, and some areas where further work is needed are mentioned.

Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics

2018 ◽  
Vol 62 (6) ◽  
pp. 1413-1427 ◽  
Author(s):  
Hamid Reza Bayat ◽  
Julian Krämer ◽  
Linus Wunderlich ◽  
Stephan Wulfinghoff ◽  
Stefanie Reese ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Numerical Evaluation ◽  
Solid Mechanics ◽  
Nonconforming Finite Element ◽  
Nonlinear Solid Mechanics ◽  
Nonconforming Finite Element Methods

Extended Bond Graph Representation of the Traction Problem in Linear Elastodynamics

1991 ◽  
Vol 113 (1) ◽  
pp. 118-121 ◽  
Author(s):  
M. E. Ingrim ◽  
G. Y. Masada
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Solid Mechanics ◽  
A Priori ◽  
Bond Graph ◽  
Elasticity Tensor ◽  
Graph Representation ◽  
Approximation Techniques ◽  
Elastic Bodies ◽  
Linear Elastodynamics

To illustrate the use of the extended bond graph notation, a reticulation is developed for a conjugate variable approximation of the traction problem in linear elastodynamics. This reticulation is general in the sense that all vector and tensor quantities are expressed using direct notation; that is, no specific coordinate system is chosen a priori. In addition, the only limitation placed upon the elasticity tensor C(X) is that it be symmetric. This allows homogeneous and inhomogeneous isotropic, orthotropic, etc., linearly elastic bodies to be modeled using these results. The conjugate approximations used here are entirely compatible with Galerkin based finite element methods. Consequently, this extended bond graph reticulation allows well-developed approximation techniques in solid mechanics to be directly incorporated into bond graph based system models.

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