ADINA Publications

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The Theory used in ADINA is richly documented in the following books by K.J. Bathe and co-authors


Finite Element Procedures
 

Finite Element Procedures in Engineering Analysis

Numerical Methods in Finite Element Analysis
 


The Mechanics of Solids and Structures — Hierarchical ...


The Finite Element Analysis of Shells — Fundamentals


Inelastic Analysis of Solids and Structures

 
 
To Enrich Life
(Sample pages here)
 

 

Following are more than 700 publications — that we know of — with reference to the use of ADINA. The pages give the Abstracts of some papers published since 1986 referring to ADINA. The most recent papers are listed first. All these papers may be searched using the box:

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Tasaisesti kuormitetun lujitemuovilaatan geometrinen epaelineaarisuus (Geometrical nonlinearity of a uniformly loaded reinforced plastic plate)

Hentinen, Markku (Laivatekniikan Lab); Holm, Gunnar Source: Valtion Teknillinen Tutkimuskeskus, Tutkimuksia, n 694, 1990, 57p Language: Finnish

ISSN: 0358-5077 CODEN: TUTUDX

Abstract: The geometrical nonlinearity of a uniformly loaded plate becomes significant if the deflection exceeds half of the plate thickness. This is common in the bottom panels of boat hulls, where the allowed stress rather than the maximum deflection is used as the design criterion. The analysis of the problem must then be extended to include membrane stresses, which affect both the stress distribution and the maximum deflection of the plate. The objective of this work was to study the conditions under which membrane effects have to be taken into account in the structural analysis of a typical hull panel. The influence of the boundary conditions and the geometry of the panel as well as the orientation of the laminate are considered. Suitable calculation methods are discussed. The chosen method, introduced and programmed by G.H. Little (1987), is based on the direct minimization of the total potential energy. In a Micro-VAX the required CPU time for one loading case was fairly short. Some calculations were also made using the finite element program ADINA and the compatibility of the results was found to be satisfactory. The results for a typical rectangular panel show the importance of membrane effects at surprisingly low loading levels. Linear calculation methods cannot therefore be applied to the analysis of large panels in boat structures. (8 refs.)

Keywords:  Ships -- Hulls  -  Plastics, Reinforced - Applications  -  Structural Design - Loads  -  Plates - Deflection  -  Plastics Laminates - Structural Analysis  -  Mathematical Techniques - Finite Element Method

Secondary Keywords:  Boat Hull Bottom Panels  -  Reinforced Plastic Plates  -  Uniformly Loaded Plates  -  Membrane Stresses  -  Finite Element Analysis

 

Dental Implant Abutment Resembling The Two-Phase Tooth Mobility

E.-J. Richter, B. Orschall And S. A. Jovanovic

Aachen University Medical Center, Department of Prosthetic Dentistry and Technology of Dental
Materials, University of Aachen, Puuwelsstrasse, 5100 Aachen, F.R.G.

J. Biomechanics, 23(4): 297-306, 1990

Abstract : Natural teeth and dental implants have ditferinp degrees of mobility thus causing a potential biomechanical problem when connected by fixed bridgework. The clinical follow-up oflen discloses marginal bone loas around an implant neck probably due to high stress factors. An implant with built-in compliance resembling the tooth mobility could be advantageous for stress distribution. With axial loading the propoxd ‘elastic’-test model accomplishes this demand. By means of theoretical and experimental studies this  ‘elastic’-test model is optimized and compared with a sti~implant-model. The results show a 10 times reduction of stress accumulation in bone with the ‘elastic’-test model.


Failure behavior of a pipe system with a circumferentially orientated flaw - analytical and experimental investigations

Mikkola, T.P.J. (Technical Research Cent of Finland); Diem, H.; Blind, D.; Hunger, H. Source: Nuclear Engineering and Design, v 112, Mar, 1989, p 197-210

ISSN: 0029-5493 CODEN: NEDEAU

Conference: Selected Papers from the 13th MPA Seminar, Oct 8-9 1987, Stuttgart, Austria

Abstract: At the German HDR-test-facility a pipe failure experiment was performed at a fullsize feedwater piping system under operating conditions of T = 240 °C, pi = 10.6 MPa and with an elevated oxygen content in the pressure medium. The loading was internal pressure and a cyclic varying bending moment with an R-ratio of 0.5. The analyses of the fracture surface indicated the strongly growing influence of corrosion effects on the crack propagation rate with decreasing loading frequency. The cyclic crack growth and the leak-before-break behavior of the piping system could be explained on the basis of results of finite element calculations using the ADINA-code. (15 refs.)

Keywords:  Piping Systems -- Failure  -  Nuclear Reactors--Piping Systems  -  Steel--Crack Propagation  -  Fracture Mechanics

Secondary  Keywords:  HDR Test Facility  -  Crack Growth

 


Shock isolation systems modeled with ADINA

Crawford, John E. (TRW); Jones, R.D. Source: Computers and Structures, v 32, n 3-4, 1989, p 601-607

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: A shock isolation system (SIS) may include rather complicated mechanical components. To analyze, or simulate their response, requires not only a nonlinear solution procedure, but also the capability to model such complicated phenomena as liquid springs, chains, friction and nonlinear damping. The modeling of some SIS components requires minor modifications to ADINA as well as employing the code's existing capabilities in atypical ways. The paper describes the techniques employed and shows some of the predicted SIS responses. (2 refs.)

Keywords:  Shock Absorbers -- Mathematical Models  -  Computer Software  -  Mathematical Techniques--Finite Element Method

Secondary Keywords:  Shock Isolation Systems  -  Liquid Springs  -  Nonlinear Damping  -  Software Package ADINA

 


Numerical analysis of dynamic split cylinder tests

Tedesco, Joseph W. (Auburn Univ); Ross, C. Allen; Brunair, Robert M. Source: Computers and Structures, v 32, n 3-4, 1989, p 609-624

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: To investigate the effects of strain rate on the tensile strength of concrete, split cylinder tests of plain concrete specimens were conducted on a Split-Hopkinson Pressure Bar (SHPB). To ascertain the stress condition in the material specimens at failure, a comprehensive finite element method (FEM) study was conducted on the SHPB experiments. Both linear and nonlinear analyses were performed. From the results of the numerical analyses, the dynamic states of stress occurring in the split cylinder prior to failure as well as the mode of failure are revealed. (23 refs.)

Keywords:  Concrete Testing  -  Cylinders  -  Concrete--Mechanical Properties  -  Failure Analysis--Stresses  -  Mathematical Techniques--Finite Element Method

Secondary  Keywords:  Dynamic Split Cylinder Tests  -  Strain Rate  -  Split Hopkinson Pressure Bar  -  Dynamic Stresses

 


Wave propagation through layered systems

Tedesco, Joseph W. (Auburn Univ); Landis, David W. Source: Computers and Structures, v 32, n 3-4, 1989, p 625-638

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: A comprehensive numerical analysis is conducted to evaluate the effectiveness of layered systems to provide enhanced protection against blast effects from conventional weaponry. Several variations of layered systems were investigated. The results of the investigation indicate that layered media significantly reduce stress transmission, thereby eliminating interior spalling. (18 refs.)

Keywords:  Laminated Products -- Stresses  -  Military Equipment--Shelters  -  Waves--Propagation  -  Blasting--Protection  -  Mathematical Techniques--Numerical Analysis  -  Concrete Construction

Secondary  Keywords:  Layered Systems  -  Blast Effects  -  Conventional Weaponry  -  Concrete Spalling

 


3D-crack propagation using ADINA

Siegele, Dieter (Fraunhofer Inst fuer Werkstoffmechanik) Source: Computers and Structures, v 32, n 3-4, 1989, p 639-645

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: A method was developed and implemented in the finite element program ADINA for the numerical simulation of 2D- and 3D-crack propagation. The elastic-plastic 3D analyses results for different compact-tension specimens and a plate containing a semi-elliptical surface crack were compared with experimental findings. The results show the importance of consideration of the local stress state (constraint) in the crack-tip region in addition to the primary loading parameter J. Moreover, a creep crack growth experiment was simulated using the creep integral C as a crack growth controlling parameter. (18 refs.)

Keywords:  Fracture Mechanics -- Computer Aided Analysis  -  Materials--Crack Propagation  -  Computer Software  -  Mathematical Techniques--Finite Element Method  -  Materials Testing--Analysis

Secondary Keywords:  Three Dimensional Analysis  -  Software Package ADINA  -  Compact Tension Specimens  -  Local Stress State  -  Creep Crack Growth

 


Finite strip analysis of plates and stiffened panels subjected to air-blast loads

Houlston, Robin (Defence Research Establishment Suffield) Source: Computers and Structures, v 32, n 3-4, 1989, p 647-659

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: During the preliminary design stage, it is important that structural response analysis methods be quick but reasonably accurate. One such method, applicable to plate and shell structures, is the 'finite strip method'. This paper first presents a review of the finite strip method. A detailed description is then given of the extension of the finite strip method to nonlinear analysis of air-blast loaded plates and stiffened panels. For validation of the finite strip results, comparison is made to those found using ADINA and to experiment. (15 refs.)

Keywords:  Plates -- Structural Analysis  -  Structural Panels--Structural Analysis  -  Structural Analysis--Dynamic Response  -  Blasting  -  Mathematical Techniques--Numerical Methods  -  Computer Aided Analysis

Secondary  Keywords:  Finite Strip Analysis  -  Stiffened Panels  -  Air Blast Loads  -  Software Package ADINA

 


Analysis for web crippling behaviour of cold-formed steel members

Sivakumaran, K.S. (McMaster Univ) Source: Computers and Structures, v 32, n 3-4, 1989, p 707-719

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: This paper is concerned with the application of non-linear finite element procedures in the analysis for web crippling behaviour of thin-walled mono-symmetric (lipped channel section) cold-formed steel members subjected to interior one-flange loading conditions. Elasto-plastic large deformation responses of three such members have been obtained using the ADINA finite element program. Flange curling, the gradually increasing separation between flange and support, was studied through a contact surface model. A comparison of the non-linear finite element predictions with experimental results shows generally good agreements.

Keywords:  Steel Structures -- Structural Analysis  -  Steel--Cold Working  -  Beams and Girders--Deformation  -  Mathematical Techniques--Finite Element Method  -  Computer Software

Secondary  Keywords:  Web Crippling  -  Cold-Formed Steel Members  -  Nonlinear Analysis  -  Software Package ADINA  -  Flange Curling

 


Ein Verfahren zur Berechnung des nichtlinearen Tragverhaltens von staehlernen Rahmentragwerken mit finiten elementen (Method for calculating the nonlinear load-bearing behavior of steel frame structures by means of finite elements)

Bock, H.-M. (Bundesanstalt fuer Materialforschung und pruefung); Brocks, W.; Laeer, R.; Marotzke, Ch. Source: Stahlbau, v 58, n 12, Dec, 1989, p 365-370 Language: German

ISSN: 0038-9145 CODEN: STAHAE

Abstract: In order to study the nonlinear load bearing and deformation behavior of steel frames, a finite two-node beam element is presented which makes it possible to perform constitutionally and geometrically nonlinear analyses of arbitrarily shaped I-beams. This module was especially developed for the general purpose finite element program ADINA. The performance of this module is demonstrated both on the basis of a comparison with the results of analytic and three-dimensional finite element calculations on a single bar and on the basis of ultimate-load studies of frame structures of practical relevance. (9 refs.)

Keywords:  Structural Frames -- Buckling  -  Structural Analysis - Loads  -  Stresses - Analysis  -  Mathematical Techniques - Finite Element Method  -  Steel Structures - Stresses

Secondary  Keywords:  Steel Frame Structures  -  Large Deformation Analysis  -  Nonlinear Finite Element Analysis

 


Comportement dynamique des lignes aeriennes de transport d'electricite du aux bris de cables. I. Modelisation mathematique (Dynamic behavior of aerial power transmission lines due to cable rupture - I. Mathematical modeling)

McClure, Ghyslaine (Ecole Polytechnique de Montreal); Tinawi, Rene Source: Canadian Journal of Civil Engineering, v 16, n 3, Jun, 1989, p 335-353 Language: French

ISSN: 0315-1468 CODEN: CJCEB8

Abstract: This paper presents a mathematical model for the nonlinear dynamic analysis of aerial electric transmission lines subjected to conductor breakage. The model uses existing finite elements and validated numerical techniques available in most commercial programs capable of handling nonlinear dynamic analysis. ADINA is used in this study. In comparison with other models, the novel approach presented here focuses on the discretization of the conductors as well as the supporting structures, specially near the breakage point. Dynamic interactions between all the structural components are therefore considered and comparisons with simpler models emphasize the importance of these interactions, the effects of geometric nonlinearities present in the conductors and in the supporting structures, and the contribution of higher modes. The mathematical model is validated with 7 of 56 tests conducted on reduced-scale physical models. The results are very encouraging for designers interested in validating their design criteria for longitudinal dynamic loads by use of existing nonlinear dynamic finite element analysis packages. (20 refs.)

Keywords:  Electric Lines -- Aerial Conductors  -  Electric Cables - Failure  -  Mathematical Models  -  Computer Simulation  -  Electric Conductors - Failure  -  Electric Power Transmission

Secondary  Keywords:  Nonlinear Dynamic Analysis  -  Software Package ADINA  -  Conductor Breakage Simulation  -  Towers  -  Pylons  -  Finite Element Programs

 


Numerical simulation of excavation in elastoplastic soils

Borja, Ronaldo I. (Stanford Univ); Lee, Seung R.; Seed, Raymond B. Source: International Journal for Numerical and Analytical Methods in Geomechanics, v 13, n 3, May-Jun, 1989, p 231-249

ISSN: 0363-9061 CODEN: IJNGDZ

Abstract: A finite element method for simulating excavation in elastoplastic soils which produces a 'unique' solution for any number of excavation stages is presented. The proposed method satisfies the uniqueness principle for elastic materials postulated by K. Ishihara, and degenerates to the methods presented in the ADINA code and by P. T. Brown and J.R. Booker and J. Ghaboussi and D.A. Pecknold for the simple elastic cases. The non-linear (elastoplastic) finite element equations are derived from a variational formulation which accounts for time-varying problem domain and boundaries. For a monotonically shrinking elastoplastic domain and the von Mises and Drucker-Prager yield models, it is shown that the proposed method also produces a 'unique' solution independent of the number of excavation stages. (16 refs.)

Keywords:  Excavation -- Computer Simulation  -  Soils--Elastoplasticity  -  Soil Mechanics  -  Mathematical Techniques--Finite Element Method

 


Structural analysis and design of deployable structures

Gantes, Charis J. (Massachusetts Inst of Technology); Connor, Jerome J.; Logcher, Robert D.; Rosenfeld, Yechiel Source: Computers and Structures, v 32, n 3-4, 1989, p 661-669

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: Deployable-collapsable structures have many potential applications ranging from emergency shelters and facilities, through relocatable, semi-permanent structures, to space-station components. Their main advantages are the small volume they occupy during storage and transportation, and their fast and easy erection procedure. A new concept of self-stabilizing deployable structures featuring stable, stress-free states in both deployed and collapsed configuration shows even higher promise. During the deployment phase these structures exhibit a highly nonlinear behavior. A large displacements/small strains finite element formulation is used to trace the nonlinear load-displacement curve, and to obtain the maximum internal forces that occur in the members of the structure during deployment. The influence of various parameters that affect the behavior of the structures, such as geometric shape, dimensions of the members, cross-sectional properties and kinematic assumptions is being investigated. (22 refs.)

Keywords:  Buildings -- Structural Analysis  -  Structural Design  -  Mathematical Techniques--Finite Element Method

Secondary Keywords:  Deployable Structures  -  Collapsible Structures  -  Load-Displacement Curves  -  Internal Forces

 


Studies of finite element procedures. An evaluation of preconditioned iterative solvers

Angeleri, Francesco (European Cent for Scientific and Engineering Computing); Sonnad, Vijay; Bathe, Klaus-Jurgen Source: Computers and Structures, v 32, n 3-4, 1989, p 671-677

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: In this paper we study the use of conjugate gradient iterative solution techniques for the solution of sparse systems of algebraic equations generated by the problem ADINA, as well as those resulting from a finite element discretization of fluid flow problems. The symmetric positive definite systems generated by ADINA for static structural analysis are solved with a conjugate gradient iterative method with incomplete Cholesky preconditioning. A biconjugate gradient method is used with incomplete LU factorization as a preconditioner to solve the equations with nonsymmetric coefficient matrices arising in the analysis of a fluid flow problem. The results of our numerical experiments show that preconditioned iterative methods can have significant advantages over direct methods in the solution of large, sparse systems of equations arising in 3D static structural analysis. However, the equations arising in fluid flow analysis are not as amenable to iterative solution techniques of the kind described in this paper. (15 refs.)

Keywords:  Mathematical Techniques -- Finite Element Method  -  Computer Aided Analysis  -  Computer Software  -  Flow of Fluids--Computer Aided Analysis  -  Structural Analysis--Computer Aided Analysis

Secondary  Keywords:  Preconditioned Iterative Solvers  -  Software Package ADINA  -  Conjugate Gradient Iterative Method  -  Biconjugate Gradient Method

 


Design sensitivity analysis principle and its implementation into ADINA

Arora, J.S. (The Univ of Iowa); Cardoso, J.E.B. Source: Computers and Structures, v 32, n 3-4, 1989, p 691-705

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: This paper describes a continuum principle of design sensitivity analysis of linear and nonlinear structures for shape and nonshape optimization problems. The principle has been derived previously using the virtual work equation, and the concepts of reference volume and adjoint structure. It is stated in a form that is more convenient to interpret and discretize for numerical calculations. Physical interpretation for each implicit design variation term in the principle is given relating it to the virtual work of internal or external forces, or their explicit design variations. A discretization of the principle using usual shape functions of finite element analysis is developed for implementation into computer programs, such as ADINA. Some numerical examples are solved to show practical use of the principle. (23 refs.)

Keywords:  Structural Design -- Optimization  -  Mathematical Techniques--Sensitivity Analysis  -  Computer Software

Secondary  Keywords:  Design Sensitivity Analysis  -  Software Package ADINA  -  Shape Optimization  -  Virtual Work

 


Finite element analysis of wave propagation in an elastic half-space under step loading

Laturelle, F.G. (Office Natl d'Etudes et de Recherches Aerospatiales (O.N.E.R.A.)) Source: Computers and Structures, v 32, n 3-4, 1989, p 721-735

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Nonlinear Finite Element Analysis and ADINA - Proceedings of the 7th ADINA Conference, Aug 2-4 1989, Cambridge, MA, USA

Abstract: This paper presents some numerical experiments in finite element procedures applied to a wave propagation problem. Finite element computations with ADINA are compared with an exact solution obtained by the use of integral transforms, in the case of an elastic half-space loaded by a step of pressure applied uniformly over a circular area at the surface. The selection of a convenient mesh, the time integration method, and the time step are considered with respect to the spectral properties of the method. It is shown that the best results for a two- or three-dimensional problem are obtained with a consistent mass idealization, and a high-frequency weakly filtering scheme. Special attention is given to the wave patterns at early times near the surface. (29 refs.)

Keywords:  Materials Science  -  Waves--Propagation  -  Elasticity  -  Mathematical Techniques--Finite Element Method  -  Computer Software  -  Pressure Effects

Secondary  Keywords:  Elastic Half-Space  -  Step Loading  -  Software Package ADINA

 



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