An updated Lagrangian finite element sensitivity analysis of large deformations using quadrilateral elements

2001 ◽  
Vol 52 (10) ◽  
pp. 1131-1163 ◽  
Author(s):  
Akkaram Srikanth ◽  
Nicholas Zabaras
Keyword(s):  
Sensitivity Analysis ◽  
Finite Element ◽  
Large Deformations ◽  
Quadrilateral Elements ◽  
Lagrangian Finite Element ◽  
Updated Lagrangian

Validation of an Improved Contact Method for Multi-Material Eulerian Hydrocodes in Three-Dimensions

2019 ◽  
Author(s):  
Kenneth C. Walls ◽  
David L. Littlefield
Keyword(s):  
Finite Element ◽  
Large Deformations ◽  
Three Dimensions ◽  
Contact Method ◽  
Arbitrary Lagrangian Eulerian ◽  
Aspect Ratios ◽  
Ale Methods ◽  
Lagrangian Finite Element ◽  
Multiple Materials ◽  
Natural Description

Abstract Realistic and accurate modeling of contact for problems involving large deformations and severe distortions presents a host of computational challenges. Due to their natural description of surfaces, Lagrangian finite element methods are traditionally used for problems involving sliding contact. However, problems such as those involving ballistic penetrations, blast-structure interactions, and vehicular crash dynamics, can result in elements developing large aspect ratios, twisting, or even inverting. For this reason, Eulerian, and by extension Arbitrary Lagrangian-Eulerian (ALE), methods have become popular. However, additional complexities arise when these methods permit multiple materials to occupy a single finite element.

Nonlinear Dynamic Analysis of Flexible Riser Structures

2008 ◽  
Author(s):  
S. A. Hosseini Kordkheili ◽  
H. Bahai
Keyword(s):  
Finite Element ◽  
Dynamic Analysis ◽  
Three Dimensional ◽  
Nonlinear Dynamic Analysis ◽  
Linearization Method ◽  
Element Formulation ◽  
Large Rotation ◽  
Pipe Elbow ◽  
Lagrangian Finite Element ◽  
Updated Lagrangian

An updated Lagrangian finite element formulation of a three-dimensional pipe elbow element is presented for large displacement and large rotation dynamic analysis. In this formulation a particular linearization method is used to avoid inaccuracies normally associated with the linearization schemes. The formulation has been implemented in a nonlinear finite element code and the results are verified. It is shown that the proposed formulation generates improved results over those previously reported in the literature.

scholarly journals A new fluid structure coupling

2007 ◽  
pp. 521-536
Author(s):  
Nicolas Aquelet ◽  
Benjamin Tutt
Keyword(s):  
Finite Element ◽  
Flow Model ◽  
Air Flow ◽  
Coupling Method ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Interaction Forces ◽  
Porous Flow ◽  
Lagrangian Finite Element ◽  
Updated Lagrangian

The modelling of parachutes at Irvin Aerospace Inc. was based on the penalty Euler-Lagrange coupling method to compute the interaction between an Arbitrary Lagrange Euler formulation for the air flow and an updated Lagrangian finite element formulation for the canopy dynamics. This approach did not permit the effect of fabric porosity to be accounted for. In this paper, a new porosity Euler-Lagrange coupling models the fabric permeability by assessing the interaction forces based on the Ergun porous flow model. This paper provides validations for the technique when considering parachute applications and discusses the interest of this development to the parachute designer.

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