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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Thermal stress analysis of a concrete dam

Ishikawa, M. (Tokyu Construction Co Ltd) Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 347-352

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: An example will be shown that ADINA was applied to thermal stress analysis of a concrete dam. The characteristics of thermal stress analysis of a mass concrete structures that the finite elements should be added according to the casting schedule of concrete and the elastic modulus of concrete should be increased with time. The user's routine was developed to calculate thermal stress in concrete structures. As an example, temperature and stress distributions were simulated in a concrete dam which was constructed by our company.

Keywords:  Dams, Concrete -- Stresses  -  Concrete Construction  -  Computer Programming  -  Stresses--Thermal  -  Structural Analysis  -  Elasticity

Secondary  Keywords:  Thermal Stresses  -  Software Package ADINA  -  Mass Concrete Structures  -  Temperature Distribution  -  Stress Distribution  -  Concrete Dams

 


Global and local modelling of naval panels subjected to shock loads

Houlston, R. (Defence Research Establishment Suffield); Slater, J.E. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 353-364

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: For efficiency, a finite element model should give sufficiently accurate results with the minimum number of degrees-of-freedom. It is thus important to assess the solution accuracy and sensitivity with respect to the loading and structural details. This paper is specifically concerned with the accuracy of displacement predictions from finite element models of plates and stiffened panels subjected to air-blast loads. In particular, the effects of boundary condition and loading details on the displacement response are assessed.

Keywords:  Structural Panels -- Shock Testing  -  Plates--Shock Testing  -  Mathematical Techniques--Finite Element Method  -  Mathematical Models  -  Computer Simulation  -  Structural Analysis--Dynamic Response

Secondary  Keywords:  Finite Element Models  -  Displacement Predictions  -  Stiffened Panels  -  Naval Panels  -  Air Blast Loads

 


J-integral evaluation from ADINA shell element results

Grebner, H. (Gesellschaft fuer Reaktorsicherheit (GRS) m.b.H.); Hoefler, A. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 365-374

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: A postprocessor program for ADINA shell elements has been developed to evaluate J-integral values as crack driving forces for ductile fracture mechanical problems with wall penetrating cracks of regular simple shape. The performance and accuracy of this procedure have been proved on several pipe component test cases with pressure, bending and thermal loads. The method seems to be well suited for the assessment of such cracks against stable crack initiation. As a rule the results with shells are calculated with less overall expense than equivalent three-dimensional continuum element models would require.

Keywords:  Domes and Shells -- Computer Aided Analysis  -  Pipe Fittings  -  Computer Programming  -  Stresses--Analysis  -  Mathematical Techniques--Finite Element Method  -  Fracture Mechanics

Secondary  Keywords:  J-Integral Evaluation  -  ADINA Shell Elements  -  Postprocessor Programs  -  Software Package ADINA  -  Cracks  -  Ductile Fracture

 

 

A Three-Dimensional Non-Linear Finite Element Study Of The Effect Of Cement-Prosthesis Debonding In Cemented Femoral Total Hip Components

T.P. Harrigan1 And W.H. Harris2

1 Orthopaedic Biomechanics Lab., Massachusetts General Hospital and Harvard Medical School,
Bostbn, MA 02114, U.S.A.
2 Hip and Implant Unit, Massachusetts General Hospital, Boston, MA 02114, U.S.A.

J. Biomechanics, 24(2):1047-1058, 1991

Abstract: A three-dimensional non-linear finite element analysis of a cemented femoral component in which the component was partially debonded from the cement mantle was used to assess the effects of debonding on stresses in the cement. Three cases of partial cement-metal debonding were modelled with debonding of the proximal portion of the implant down to a horizontal plane which was 35, 62.5, or 82.5 mm below the prosthesis collar. Each situation was studied under loads simulating both gait and stair climbing. Also, complete debonding between the implant and the surrounding cement mantle was modeled for loads simulating pit. Under stair climbing loads with partial cement-metal debonding, hoop stresses of 13-18 MPa were observed in the cement at the cement-metal interface at the proximal postero-medial corner of the implant. Similarly, in stair climbing, the maximum principal stresses in the cement were also adjacent to the proximal postero-medial region of the implant. These stresses were compressive and increased from 15 MPa with fully bonded interfaces to 48 MPa with debonding down to 82.5 mm below the prosthesis collar. Under gait loads, complete debonding caused high compressive stresses up to 34.9 MPa in the cement distal to the prosthesis tip.

 

 


Sensitivity of plate response calculations to blast load definition

Santiago, J.M. (U.S. Army Ballistic Research Lab); Bhattacharya, S. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 375-392

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: The ADINA program has been used with three progressively more accurate loading functions to model the dynamic response of a plate. The calculations simulated the response of a 19 mm thick aluminum plate, clamped over a circular opening 914 mm in diameter, subjected to the blast from an explosive charge suspended 645 mm over its center. The loading functions were based on prior hydrocode calculations of the detonation flow using successively refined computational grids. The influence of clamped edge conditions on the response was bracketed by allowing no sliding and frictionless sliding. Calculations were performed using a linear analysis, a material nonlinear analysis with kinematic hardening plasticity, and a combined material and geometric nonlinear analysis. The deflection histories obtained with the three methods of analysis using the three progressively refined loading functions for the two bracketing boundary conditions were compared. The response was found to be sensitive principally to the total impulse delivered to the plate, though the influence of loading details was detected. Despite a significant amount of plasticity, the deflections were predominantly influenced by the strong coupling between the membrane and transverse deformations, resulting in the response being noticeably affected by boundary modeling and indicating a need to use the geometric nonlinear method of analysis.

Keywords:  Plates -- Shock Testing  -  Computer Simulation  -  Computer Programming  -  Structural Analysis--Dynamic Response  -  Explosions  -  Plasticity

Secondary Keywords:  Software Package ADINA  -  Blast Loads  -  Aluminum Plates  -  Nonlinear Analysis  -  Deflection  -  Membranes

 


Improving the traffic safety on Bavarian highway through profiled marking with use of ADINA

Steinauer, B. (Autobahndirektion Suedbayern); Tao, D. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 393-399

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: To improve the traffic safety a profiled marking system is used on Bavarian highway. With the help of program ADINA the magnification factor and the comfort index of the vehicle as well as the optimal gaps and thicknesses of the profiles are studied. The experimental measurement is also demonstrated.

Keywords:  Highway Signs, Signals and Markings -- Bavaria, Federal Republic of Germany  -  Accident Prevention  -  Highway Systems  -  Computer programming  -  Mathematical Models  -  Motor Trucks--Accident Prevention

Secondary  Keywords:  Traffic Safety  -  Profiled Markings  -  Bavarian Highways  -  Software Package ADINA

 


Element nonlinearity effects on local and global stability

Tabaddor, F. (Uniroyal Goodrich); Padovan, J. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 401-407

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: In the modelling of elastomeric structures, soft composites, tires, etc., generally large deformations and significant localized material nonlinearity are encountered. During the solution of finite element models of such structure, indefinite stiffness characteristics are often encountered. Such behavior may be an outgrowth of a variety of factors, i.e. real physics, model degeneracies, boundary conditions, etc. This paper revisits various causal factors effecting definiteness. These considerations will help in modifying and relaxing some of the current convergence requirements on the global stiffness. This in turn, will result in a solution of more realistic models with potentially significant savings in CPU time.

Keywords:  Structural Analysis -- Computer Aided Analysis  -  Elastomers  -  Tires  -  Composite Materials--Deformation  -  Mathematical Models  -  Mathematical Techniques--Finite Element Method

Secondary Keywords:  Software Package ADINA  -  Global Stiffness  -  Local Stiffness  -  Finite Element Models

 


Nonlinear analysis of buckling behaviour of steel box girder components

Thimmhardy, E.G. (Concordia Univ) Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 469-474

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: Results of a large deflection nonlinear analysis of stiffened compression plates used in design of box girder bridges are presented. Both geometric and material nonlinearities were considered in the formulation. The soundness of the finite element model used in prediction of the buckling behaviour and ultimate strength of stiffened compression flanges is shown by comparison with experimental data.

Keywords:  Beams and Girders -- Buckling  -  Bridges, Box Girder  -  Plates  -  Mathematical Models  -  Mathematical Techniques--Finite Element Method

Secondary  Keywords:  Nonlinear Analysis  -  Buckling behavior  -  Steel Box Girder Components  -  Stiffened Compression Plates  -  Stiffened Compression Flanges

 


Prediction of the ultimate capacity of wide flange link beams under cyclic loading

Ramadan, T. (McMaster Univ); Ghobarah, A. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 409-418

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: The objective of this investigation is to develop an analytical model to evaluate the seismic performance of the active links in eccentrically braced frames. The ADINA finite element computer code is used to gain insight into the behaviour of the links under cyclic loading. An available experimental set-up and testing program was modelled. It was found that it is possible to develop a simple yet effective finite element approach to model the very complex behaviour of the links. Comparison between analytical predictions and available experimental results showed good agreement.

Keywords:  Structural Frames -- Earthquake Resistance  -  Beams and Girders  -  Mathematical Models  -  Computer Programming  -  Mathematical Techniques--Finite Element Method

Secondary  Keywords:  Wide Flange Link Beams  -  Eccentrically Braced Beams  -  Software Package ADINA  -  ADINA Finite Elecment Computer Code

 


Hierarchic modeling of plates

Babuska, I. (Univ of Maryland); Li, L. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 419-430

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: The paper surveys some of the results related to approach of hierarchic modeling of the plate problems. The main ideas are explained and illustrated by numerical examples.

Keywords:  Plates -- Mathematical Models  -  Mathematical Models  -  Mathematical Techniques--Finite Element Method

Secondary  Keywords:  Hierarchic Modeling

 


Combining numerical analysis and engineering judgment to design deployable structures

Gantes, C. (Massachusetts Inst of Technology); Connor, J.J.; Logcher, R.D. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 431-440

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: Deployable structures are prefabricated space frames that can be stored and transported in a compact folded configuration and then deployed rapidly into a load bearing configuration. The structures are stable and stress-free in the folded and the deployed configuration, but exhibit a highly nonlinear behavior during deployment. Therefore, their design process should include simulation of their response in two phases: in the deployed configuration under service loads, and during deployment. The first phase involves linear analysis while the second one requires a geometrically nonlinear finite element formulation. Both simulations can be very demanding in terms of computer storage requirements as the number of degrees of freedom increases. In addition, the nonlinear analysis is quite expensive because of the large number of load steps that are necessary in order to trace the complete load-displacement path. This paper first describes a set of numerical models that were used to simulate the exact structural behavior using the finite element program ADINA. Then, some simplified analytical and numerical models are proposed that can be applied in the preliminary design stage, or even for final design, in order to obtain approximate but satisfactory results at a much lower cost.

Keywords:  Structural Frames -- Computer Aided Design  -  Structural Analysis  -  Structural Design--Light Weight  -  Mathematical Techniques--Finite Element Method  -  Civil Engineering  -  Buildings--Prefabricated

Secondary  Keywords:  Numerical Analysis  -  Deployable Structures  -  Prefabricated Space Frames  -  Software Package ADINA

 


Studies of finite element procedures. The conjugate gradient and GMRES methods in ADINA and ADINA-F

Tan, L.H. (ADINA R&D Inc); Bathe, K.J. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 441-449

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: In this paper we present some experiences with the use of the conjugate gradient and GMRES iterative methods for the solution of large sparse systems of equations as recently implemented in ADINA and ADINA-F for structural and fluid flow problems. The conjugate gradient method preconditioned with the incomplete Cholesky decomposition is used for the symmetric positive definite systems resulting from structural problems. For fluid flow problems, the systems of equations are nonsymmetric and indefinite. For these systems, the biconjugate gradient and GMRES algorithms with preconditioning by incomplete LU factorization are used. The performance of the iterative methods is compared with the direct solution methods. The results from our numerical experiments show that the use of these iterative methods for large sparse systems can lead to significant reductions in storage requirements and computation times, especially for nonlinear structural dynamics problems and three-dimensional problems in general.

Keywords:  Mathematical Techniques -- Finite Element Method  -  Computer Programming--Algorithms  -  Structural Analysis  -  Structural Design  -  Flow of Fluids  -  Computer Aided Analysis

Secondary Keywords:  GMRES Iterative Methods  -  Software Package ADINA  -  Conjugate Gradient Method  -  Software Package ADINA-F  -  Large Sparse Systems of Linear Equations  -  Symmetric Positive Definite Systems

 


System architectures for support of nonlinear finite element analysis

Cobb, C. (Texas Instruments Inc); Rolph, W.D.; Wilmarth, D. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 451-461

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: A number of new systems technologies have been released over the last year which significantly affects the possibilities for designing finite element analysis facilities. Examples include workstations which have nearly the power of Cray 1 computers, virtual file systems which provide the equivalent of gigabytes of disc storage, high performance color hard copy capability, and advances in the software interoperability layers, such as X-Windows, postscript, and NFS, which provide the opportunity for increased integration of these systems opportunities. The result is the opportunity to design finite element facilities which are dramatically different than facilities of even five years ago, and which offer the potential of significant improvement in analyst productivity. These technologies will be discussed, and the results of the internal testing of these technologies at Texas Instruments will be described. A reference facility with migration opportunities to the new technology will be detailed. Finally, thoughts on future systems technologies, and their impact on finite element facilities, will be discussed.

Keywords:  Computer Architecture -- Applications  -  Mathematical Techniques--Finite Element Method  -  Computers, Supercomputer  -  Computer Aided Analysis  -  Computer Workstations  -  Technology

Secondary Keywords:  System Architectures  -  Nonlinear Finite Element Analysis  -  Software Interoperability Layers  -  Reference Facilities  -  Systems Technologies

 


Analysis of the fixation of total hip femoral components using ADINA

Harrigan, T.P. (Univ of Missouri at Kansas City) Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 463-468

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: In this study, the stresses within the cement and at the cement-metal interface have been studied using a large-scale linear finite element analysis. Also, to assess the effects of cement-prosthesis debonding, a 3D contact study was conducted which assessed the effect of several different areas of debonding between the prosthesis and the cement. The results of finite element analysis showed that the most likely sites for failure initiation are in the proximal antero-medial region and at the distal prosthesis tip. The loading situation which appeared to put the interface in the most danger for failure is that encountered in stair climbing. The stresses during normal walking did not seem as critical. Simulation of cement-metal debonding showed that a drastic increase in cement stresses occurred under both gait and stair climbing loads, and that stair climbing loads also produced much higher stresses with debonding. The effect of pores which often occur in bone cement was assessed using an analytical elasticity solution for a spherical void in an infinite medium, which allowed a calculation of the maximum tensile stress at the surface of a pore. These stresses were sufficient to initiate fractures near the distal tip of the implant in many cases, and near the proximal medial region of the implant in stair climbing. This study concurs to a remarkable degree with a study of well-functioning total hip replacements recovered at autopsy. The initiating failure events seen in the retrieved femoral components matched closely with the predicted areas of failure initiation. The conclusions of the study were that the cement-prosthesis interface should be strengthened, porosity in bone cement should be minimized, and that total hip patient should not use their prosthetic hip when climbing stairs. (7 refs.)

Keywords:  Prosthetics -- Hip Prostheses  -  Computer Programming--Algorithms  -  Stresses  -  Mathematical Techniques--Finite Element Method  -  Adhesives--Bone Cement  -  Computer Software

Secondary  Keywords:  Software Package ADINA  -  Total Hip Femoral Components  -  Implants  -  Total Hip Replacements  -  Porosity

 


Updating of finite element models by means of measured information

Fritzen, C.P. (Univ of Kaiserslautern); Zhu, S. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 475-486

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: The paper deals with the updating of computational models for elasto-mechanical vibrating structures. The updating procedure is based on system identification techniques using an incorrect model on the one hand and measured data of the real system on the other. Some approaches with different types of measurement data are discussed. For practical realization the finite element program ADINA is combined with a nonlinear optimization algorithm and measured transfer functions are used for the correction of the design parameters. The application of the procedure is demonstrated by means of three examples.

Keywords:  Structural Analysis -- Dynamic Response  -  Vibrations  -  Mathematical Models  -  Mathematical Techniques--Finite Element Method  -  Computer Programming--Algorithms

Secondary  Keywords:  Software Package ADINA  -  Nonlinear Optimization Algorithms  -  Elastomechanical Vibrating Structures

 


Effect of thermal and residual stresses on the J-integral elastic-plastic fracture analysis

Kumar, V. (General Electric Co); Schumacher, B.I.; German, M.D. Source: Computers and Structures, v 40, n 2, Nonlinear Finite Element Analysis and ADINA, 1991, p 487-501

ISSN: 0045-7949 CODEN: CMSTCJ

Conference: Proceedings of the 8th ADINA Conference, Jul 17-19 1991, Cambridge, MA, USA

Abstract: This paper presents a comprehensive finite element study using the ADINA code with an objective towards developing a procedure for incorporating the effect of thermal/residual stresses in the J-integral elastic-plastic estimation method. Thermal-elastic-plastic finite element studies have been carried out for several two-dimensional crack geometries including the center-cracked plate, single-edge cracked plate and cylinders containing axial and circumferential flaws. Analyses are based on the J2 flow theory of plasticity and include material strain hardening. Results are obtained for various fracture parameters of interest such as J, COD and mouth-opening displacement (MOD). The J-integral is calculated by a virtual crack extension method, modified for thermal-elastic-plastic crack problems. It is shown that the effect of thermal/residual stresses is negligibly small when fully plastic conditions are achieved. Based upon these observations and using the superposition principle for the stress intensity factor KI under small-scale yielding, a modified procedure for estimating fracture parameters under thermal-elastic-plastic conditions is formulated. The results thus obtained are compared against detailed finite element calculations, with an observed excellent agreement between the two sets of results. Various aspects of the crack-tip behavior under the conditions of thermal-elastic-plastic deformation are also discussed.

Keywords:  Fracture Mechanics -- Computer Aided Analysis  -  Stresses  -  Elasticity  -  Plasticity  -  Computer Programming  -  Mathematical Techniques--Finite Element Method

Secondary  Keywords:  Software Package ADINA  -  Thermal Stresses  -  Residual Stresses  -  J-Integral  -  Elastic-Plastic Fracture Analysis  -  Cracked Plates

 



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