A finite element formulation for rod/continuum interactions: The one-dimensional slideline

This paper deals with the one-dimensional static and dynamic analysis of thin-walled closed beams with general quadrilateral cross sections. The coupled deformations of distortion as well as torsion and warping are investigated in this work. A new approach to determine the functions describing section deformations is proposed. In particular, the present distortion function satisfies all the necessary continuity conditions unlike Vlasov's distortion function. Based on these section deformation functions, a one-dimensional theory dealing with the coupled deformations is presented. The actual numerical work is carried out using two-node C0 finite element formulation. The present one-dimensional results for some static and free-vibration problems are compared with the existing and the plate finite element results.

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A new finite element formulation for one-dimensional analysis of elastic-plastic materials

Computers and Geotechnics ◽

10.1016/0266-352x(90)90040-3 ◽

1990 ◽

Vol 9 (4) ◽

pp. 241-256 ◽

Cited By ~ 9

Author(s):

H.S. Yu ◽

G.T. Houlsby

Keyword(s):

Finite Element ◽

Dimensional Analysis ◽

Finite Element Formulation ◽

Element Formulation ◽

One Dimensional ◽

Elastic Plastic ◽

Plastic Materials ◽

Elastic Plastic Materials

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Soil Structure Interaction Through Two Parameter Foundation

29th International Conference on Ocean, Offshore and Arctic Engineering: Volume 1 ◽

10.1115/omae2010-20055 ◽

2010 ◽

Author(s):

T. Ravi S. Mullapudi ◽

Ashraf Ayoub

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Soil Parameters ◽

Element Formulation ◽

Winkler Model ◽

The One ◽

Parametric Analyses ◽

Foundation Parameters ◽

Two Parameter

Beams on foundations and piles resisting by surrounding soil are significantly complex due to the behavior of the surrounding semi-infinite soil media. Winkler’s model is the simplest element that account for the behavior of both the foundation and soil. The Winkler model is the one-parameter model which assumes the foundation reaction at a particular point is proportional to the soil displacement. Most of the existing elements assume the soil to be tensionless or even elastic. In reality, the soil cohesiveness plays an important role in the behavior of foundation elements. In this paper a new finite element formulation was developed in which the soil can be viewed as an inelastic element with a combination of cohesive behavior that transmits rotations due to bending, in addition to the well-known Winkler effect known as the two-parameter model. The non linear response of structures resting on this improved foundation model is analyzed following a Pasternak approach with improved soil parameters. The soil parameters are evaluated by an internal iteration which depends upon the loading and foundation parameters. Parametric analyses of a foundation element have been carried out and comparisons were made between different foundation parameters. The numerical performance of the element was further enhanced by adopting the newly developed mixed finite element formulation with fiber discretization. The presented solutions and applications show the superiority of the element in simulating the complex response of foundation structures.

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