A Mixed Finite Element Formulation For Non‐linear Analysis Of Plane Problems

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Special Properties of Hyperelastic Materials Fully or nearly Incompressible Bulk modulus typically 100-1000x shear modulus Poisson s ratio approaches 0.5 Problems in displacement-based FEA formulation Requires B-bar or mixed u-P formulation Huge elastic range of deformation Strains > 80% are (mostly) recoverable Analysis should account

for puiblie release, AD-A204 555

-An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion of elements to adaptively refine and coarsen the mesh. Incremental work and deviation of the bilinear finite element approximation to the shell

Hybrid-mixed stress finite element models for the stability

In recent years, hybrid-mixed stress finite element models have been developed for the static analysis of plane stretching and plate bending problems [1-4]. One of the main advantages associated with the use of this type of formulation it is the flexibility introduced in the selection of the approximation functions.


PRIMAL AND MIXED FINITE ELEMENT MODELS OF FINITE DEFO~~TIONS OF EJ~STIC BODIES J. T. Oden Presented in the Session on Nonlinear Problems-at the INTERNATIONAL SYMPOSIUM ON COMPUTING METHODS IN APPLIED SCIENCE AND ENGINEERING Held at the I.R.I.A., the Institut de Researche d'Informatique et d'Automatique, Racquencourt,


review of geometrically nonlinear analysis is included, particularly highlighting the lack of studies regarding applications of mixed methods to nonlinear problems in plane elasticity in general, and contact problems in particular. 1.2 Literature Review The displacement finite element model, based on the principle of

A staggered explicit implicit finite element formulation for

2.2. Nonlinear, monolithic finite element model The FE model we use was previously developed in [9 11]. In that work, the corresponding author and collaborators developed a nonlinear, dynamic FEM formulation of the governing electromechanical field equations of Suo et al. [31] in(1)and(2).

D. Frederick

nonlinear mixed finite element formulation. A number of different contact problems are solved using these two techniques. A hybrid technique is presented that combines the numerical technique of the finite element method with the experimental technique of moire interferometry. The displacements at the pin hole interface

On Finite Element Methods for Nonlinear Dynamic Response

particularly important in nonlinear finite element analysis because physical test data are frequently not available. 1. INTRODUCTION Finite element methods are now widely used in engineering analysis and we can expect a continued growth in the use of these methods. Finite element programs are extensively

Method of incompatible modes overview and application

strain field obtained using the mixed formulation. They are listed here: (14) 2.2. Finite element implementation A 2-node truss bar finite element of length L and cross-sectional area A is considered, with an axial degree of freedom u i at every node (see Figure 1). Figure 1. 2-node truss bar finite element with its shape functions


MIXED FINITE ELEMENT MODELS FOR PLATE BENDING ANALYSIS: A NEW ELEMENT AND ITS APPLICATIONS DIMITRIS KARAMANLIDIS~ University of Rhode Island, Kingston, RI 02881, U.S.A. HUNG LE THE$ Technical University of Berlin, Berlin (West), F.R.G. SATYA N. ATLURI~ Georgia Institute of Technology, Atlanta, GA 30332, U.S.A.

Analysis of geometrically non-linear bending of beams and

Analysis of geometrically non-linear bending of beams and plates with mixed-type finite elements Citation for published version (APA): Menken, C. M. (1974).


toward nonlinear analysis of structures. In this field, two major approaches have been adopted. The displacement based finite element approach and the force based finite element approach. The primary unknowns in the latter method are the internal element forces instead of the nodal displacements used in the former method.

Non-Linear Analysis of Beams with Large Deflections An

A new mixed formulation for Interval Finite Element Methods was developed by the authors (Rama Rao, Muhanna and Mullen, 2010, 2011) where the derived quantities of the conventional formulation are treated as dependent variables along with the primary variables.

Accurate nonlinear modeling for flexible manipulators using

Mixed finite element formulation is the recent approach, still in developing stage for analysis in which variable field-displacement, stress, and strain are inter-

A Shallow Shell Finite Element for the Linear and Non-linear

Abstract A spherical triangular finite element based on shallow shell formation is developed in this paper for linear and geometrically nonlinear analysis of spherical shells. The developed element is rectangular in-plane and has only five essential degrees of freedom at each corner node. The


Air Force Institute of Technology AFIT Scholar Theses and Dissertations Student Graduate Works 3-12-2009 Least-Squares Finite Element Formulation for Fluid-Structure Interaction C

Lower bound limit analysis using finite elements and linear

earth pressure problems, using finite elements and nonlinear programming, have been derived by Basudhar et al. Another method of limit analysis, which employs a mixed finite element formulation and unconstrained minimization, has been proposed by Casciaro and Cascini. ' This

A Quadrilateral 2-D Finite Element Based on Mixed

A quadrilateral 2-D finite element for linear and non-linear analysis of solids is presented. The element is based on the technique of mixed interpolation of tensorial components. It is shown that the new element is reliable and efficient, being apt, therefore, to be used in routine engineering applications. INTRODUCTION


detail. In this thesis the formulation of these elements is summarized and some numerical results are presented which demonstrate the high predictive capabilities of the elements. In the case of a general nonlinear shell analysis, the 9-node mixed-interpolated plate bending element is extended to a general nonlinear shell element.

Springer-Verlag 2003 DOI 10.1007/s00466-003-0410-y A mixed

tent formulation for a force-based element and its nu-merical implementation in a general purpose computer program is the work of Ciampi and Carlesimo [17]. An independent attempt in the same direction is reported by Carol and Murcia [18] who proposed a hybrid frame ele-ment for nonlinear material and second-order plane frame analysis.

On Finite Element Analysis of Nonlinear Consolidation

This thesis discusses the development of a finite element formulation based on the 9/4-c displacement-pressure element which is widely used to solve almost incompress- ible media and has been proven to be optimal for such analysis.

Finite Strain Fracture Analysis Using the Extended Finite Element

Finite strain fracture analysis using the extended finite element method with new set of enrichment functions R. Rashetnia and S. Mohammadi*,† School of Civil Engineering, University of Tehran, Tehran, Iran SUMMARY Nonlinear fracture analysis of rubber-like materials is computationally challenging due to a number of com-plicated numerical

An improved assumed strain solid-shell element formulation

In this paper, the earlier formulation of the SHB8PS finite element is revised in order to eliminate some persistent membrane and shear locking phenomena. This new formulation consists of a solid shell element based on a purely three-dimensional approach. More specifically, the element has eight nodes, with

A Smoothed Finite Element Method (SFEM) for Linear and

nite volume method through the MLPG mixed approach. For nonlinear analysis of plates and shells, Horrigmoe and Bergan (1978) presented a general formulation for geometrically nonlin-ear analysis of shells using flat finite elements. Hughes and Liu (1981) presented a general non-linear finite element formulation using uniform

Current trends in the p-adaptive boundary element method p. 1

A low-order finite element scheme for nonlinear plate problems p. 557 On locking phenomena in finite element analysis of planar deformation of beams p. 563 Hybrid and mixed membrane elements with rotational degrees of freedom p. 571 A stable finite element formulation for Reissner-Mindlin plates p. 579


PLATE BENDING ANALYSIS THEORY D. KARAMANLIDIS~ and S. N. ATLURI$ Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, GA 30332, U.S.A. Abstract-The theoretical background of mixed finite element models, in general for nonlinear problems,

A mixed 3d cable element for the nonlinear

The new element and the consistent time integration scheme are rst validated under nonlinear elastic material response with several benchmark problems from the literature. In these examples, the mixed cable element obtains very accurate results for coarse meshes, and displays especially accurate axial force distributions compared to other models.

Numerical Modelling of Out-of- Plane Behaviour of Structural

strain/displacement finite element formulation and the classical irreducible formulation for linear and non-linear problems. A total of six straight and curved, 2D and 3D, structural

Experimental Analysis of Large Amplitude Free Vibration of

FINITE ELEMENT NON-LINEAR ANALYSIS In the finite element formulation, we assume that the displacements of the finite element assemblage are infinitesimally small and the material is linearly elastic. In addition we also assume that the nature of the boundary conditions remain unchanged during the application of the loads on the finite element


of the element to problems with small rotations, leading to inaccurate results when the proposed element is used in structures subject to large rotations. Carol and Murcia (1989)(24) presented a hybrid-type formulation valid for nonlinear material and second order plane frame analysis. The authors refer to the method as being exact in

Nodally Integrated Finite Element Formulation for Mindlin

Nodally Integrated Finite Element Formulation for Mindlin-Reissner Plates D. A. Simoes and T. A. Jadhav Abstract This work describes a nodally integrated finite element formulation for plates under the Mindlin-Reissner theory. The formulation makes use of the weighted residual method and nodal integration to derive the assumed strain relations.


Hence, it is clear that for nonlinear analysis, the finite element model must be established in a much more stringent manner than if only a linear analysis is to be pursued. 2.3. Analysis qf contact In nonlinear analysis of automobile structures, contact conditions are frequently an important


Mixed finite element formulation for non-isothermal porous media in dynamics IV International Conference on Particle-based Methods Fundamentals and Applications PARTICLES 2015 E. Ona˜ te, M. Bischoff, D.R.J. Owen, P. Wriggers & T. Zohdi (Eds) MIXED FINITE ELEMENT FORMULATION FOR NON-ISOTHERMAL POROUS MEDIA IN DYNAMICS

A hybrid mixed model for nonlinear shell analysis and its

Since the inception of the finite element method more than two decades ago, the development of suitable models for the analysis of thin plates and arbitrarily curved shells has always attracted the attention of many investigators. 1-8 This is particularly true for the case of non-linear shell


mixed finite element formulation for plates and shells with low-order displacement/strain interpolations. An extensive set of stability and vibration problems has been solved to demonstrate the effectiveness and

A nonlinear, transient finite element method for coupled

In this paper, a nonlinear, transient finite element formulation is pre-sented for initial boundary value problems associated with swelling and deformation of hydrogels, based on a nonlinear continuum theory that is consistent with classical theory of linear poroelasticity. A mixed finite element method is implemented with implicit time

A Geometrically Nonlinear Mixed Finite Element Formulation

A Geometrically Nonlinear Mixed Finite Element Formulation for the Simulation of Piezoelectric Shell Structures Katrin Schulz and Sven Klinkel Institut f¨ ur Baustatik, Kaiserstrasse 12, 76131

Finite element modeling of quasi-brittle cracks in 2D and 3D

that focuses on the application of a mixed FE formulation to the modeling of cracking in quasi-brittle materials. For more details, the reviews in references [45-47] are suggested. Recently, mixed finite elements have been reexamined by [48-51] to deal with strain localization problems. Mixed finite element formulations have proved to be a

Nonlinear Seismic Analysis of Circular Concrete-Filled Steel

beam element formulation for circular concrete-filled steel tubes has been developed for nonlinear static and dynamic analyses of composite seismic force resisting systems. A mixed basis for the formulation was chosen to allow for accurate modeling of both material and geometric nonlinearities. The formulation utilizes uniaxial cyclic

A Numerical Study of Finite Element Calculations for

It is well known that the finite element analysis (FEA) of incompressible materials is less straightforward than for materials which are compressible. The FEA of incompressible materials using the usual displacement based finite element method results in an unstable solution for the stress field. Hence, a different formulation called the mixed u-p