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)


* To Download — Second Edition of the Book "Finite Element Procedures" (4th printing)

You are welcome to download the second edition of the book, 4th printing, however, please note that the book is copyrighted and should only be used in the same manner as a purchased hard-copy of the book.

Improved versions will be made available here, from time to time, as the 5th printing, and so on.

"Finite Element Procedures", 2nd Edition (.pdf)

Solutions to exercises in the book "Finite Element Procedures", 2nd Edition, 2014 are given in this manual (.pdf)

Chinese translation of 2nd edition also available: Vol. 1 Vol. 2

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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Stress distribution in SiCp-Al composite with interphase

Li, Shouxin (Academia Sinica); Sun, Lizhi; Wang, Zhongguang; Tang, Yandong Source: Journal of Materials Science Letters, v 13, n 14, Jul 15, 1994, p 1022-1026

ISSN: 0261-8028 CODEN: JMSLD5

Publisher: Publ by Chapman & Hall Ltd

Abstract: A finite element method was used to analyze the stress distribution in the SiCp-Al composite with interphase. An ideal interphase with uniform thickness was assumed to exist at the SiCp-Al interface. (13 refs.)

Keywords:  Metallic matrix composites  -  Aluminum  -  Silicon carbide  -  Particles (particulate matter)  -  Reinforcement  -  Shear stress  -  Stress analysis  -  Interfaces (materials)  -  Failure (mechanical)  -  Thermal expansion  -  Mathematical models  -  Finite element method  -  Computer software

Secondary Keywords:  Silicon carbide-aluminum composites  -  Stress distribution  -  Interphase  -  Software package ADINA


Deformation of artificially frozen shafts during excavation

Zhang, Y. (Beijing Research Inst of Mine Construction); Sego, D.C.; Morgenstern, N.R. Source: Proc 7 Int Symp Ground Freezing, 1994, p 225-232

Conference: Proceedings of the 7th International Symposium on Ground Freezing, Oct 24-28 1994, Nancy, Fr

Publisher: A.A. Balkema

Abstract: Excessive deformation of the supporting frozen wall of an artificial frozen shaft as it is excavated often results in failure of both the temporary support system and the freeze pipes located within the wall. In this study, the influence of the construction sequence namely the excavation rate and length of the exposed excavated section, as well as the influence of the frozen wall temperature on the deformations were investigated using the finite element program ADINA. Alternate procedures to reduce the frozen wall deformations were examined and a safe and economical construction procedure to advance an artificially frozen shaft is presented. (16 refs.)

Keywords:  Mine shafts  -  Deformation  -  Freezing  -  Excavation  -  Pipe  -  Finite element method  -  Construction  -  Mathematical models  -  Thermal effects  -  Computer simulation  -  Soils

Secondary Keywords:  Artificial frozen shaft  -  Temporary support system  -  Freeze pipes  -  Construction sequence  -  Finite element program  -  Ground freezing


3-D finite element modeling and analysis of an armored vehicle hull withmultiple access openings

Gupta, Aaron D. (U.S. Army Research Lab); Santiago, Joseph M.; Meyer, Christopher Source: Computers in Engineering, Proceedings of the International Conference and Exhibit, v /2, 1994, p 581-587


Conference: Proceedings of vthe 1994 ASME International Computers in Engineering Conference and Exhibition. Part 2 (of 2), Sep 11-14 1994, Minneapolis, MN, USA Sponsor: ASME

Publisher: ASME

Abstract: A 3-D finite element model of a bare aluminum vehicle hull with multiple access openings for the driver's hatch, the commander's cupola, engine access opening, exhaust grills, cargo hatch, as well as rear door cutout, representing the basic hull of the Armored Personnel Carrier (APC) M113A2 was generated using PATRAN 3 pre/post-processor program. Frequencies and modeshapes obtained using the ADINA finite element code were compared with available experimental modal analysis data for the metallic hull. (10 refs.)

Keywords:  Military vehicles  -  Armor  -  Dynamic response  -  Structural design  -  Three dimensional  -  Mathematical models  -  Finite element method

Secondary  Keywords:  Armored vehicle hull  -  Armored Personnel Carrier (APC)  -  Software package PATRAN 3  -  Software package ADINA


Failure of graphite/epoxy panels with stiffening strips

Sawicki, Adam J.; Graves, Michael J.; Lagace, Paul A. Source: ASTM Special Technical Publication, n 1156, Fatigue and Fracture, 1993, p 5-34

ISSN: 0066-0558 CODEN: ASTTA8 ISBN-10: 0-8031-1498-2

Conference: 4th Symposium on Composite Materials, May 6-7 1991, Indianapolis, IN, USA Sponsor: ASTM

Publisher: Publ by ASTM

Abstract: Nine graphite/epoxy panels were tested in uniaxial tension to examine the ability of stiffening strips to redirect propagating damage. The materials used were Hercules A370-5H/3501-6 prepreg fabric and AS4/3501-6 prepreg unidirectional tape. The layup of the unstiffened regions of the panels was four plies of fabric with the quasi-isotropic layup. Three different four-ply unidirectional tape stiffener layups parallel to the applied load were tested. The specimen width was 203 mm with stiffener widths of either 48 or 64 mm. Slits of three lengths, 51, 71, and 102 mm (1.0 mm wide), were precut into the panels perpendicular to the direction of loading. The panels were tested under load control. Stress-strain and photoelastic data were taken. The finite element code ADINA was used to examine the two-dimensional response of the panels. The three slit lengths were modeled to gain an understanding of the local stress and strain response ahead of the slit in the stiffened region. Contour plots of maximum strain and the orientation of these maximum values with respect to the load direction near slits and stiffened regions were generated. These analytical models showed higher strains in the stiffened regions ahead of the slit compared to the strains in the unstiffened regions. The local orientation of the maximum tensile strains in the stiffened regions ahead of the slit remained perpendicular to the slit and parallel to the applied load. At failure, propagating damage progressed directly across the stiffener either perpendicular to the applied load or at 45°C with respect to the applied load. It is concluded that the maximum tensile strain and its orientation ahead of the slit, as derived from the analysis, plays a key role in the prediction of subsequent damage propagation in these laminates. It is also concluded that the structural and material couplings, due to the unsymmetric layups in the stiffener regions, have little, if any, affect on the ability of the stiffener to redirect damage propagation, since in all cases damage progressed through the stiffeners.

Keywords:  Structural panels  -  Failure (mechanical)  -  Composite materials  -  Strain  -  Strip metal  -  Graphite  -  Press load control  -  Mechanical properties  -  Stresses  -  Finite element method

Secondary  Keywords:  Graphite/epoxy panel  -  Stiffening strip  -  Prepreg fabric  -  Prepreg unidirectional tape  -  Four ply


Evaluation of fracture parameters by equivalent domain integrals

Grebner, H. (Gesellschaft fuer Anlagen- und Reaktorsicherheit (GRS) mbH) Source: Computational Materials Science, v 1, n 3, Jul, 1993, p 313-318


Conference: Proceedings of the International Workshop on Finite-Element Modelling of Mechanical Behavior of Materials, Oct 26-27 92, Stuttgart, Ger

Abstract: In numerical analyses of cracked components often the finite element method is used in combination with special subroutines or post-processor programs for the evaluation of J-integral values. In this paper post-processor programs are described which use a volume integral formulation proposed by ATLURI and coworkers and denoted as equivalent domain integral (EDI). The programs use the results of two or three dimensional linear-elastic or elastic-plastic calculations with the finite element program ADINA. Besides the basic equations the numerical implementation is described. Also some results of test calculations on a compact tension shear specimen are presented. The results show a reasonable agreement with values gained by other methods. (13 refs.)

Keywords:  Fracture mechanics  -  Fracture  -  Cracks  -  Mathematical models  -  Finite element method  -  Computer software  -  Elasticity  -  Elastoplasticity  -  Computational methods  -  Shear stress  -  Parameter estimation  -  Integral equations

Secondary  Keywords:  J integral  -  Volume integral formulation  -  Equivalent domain integral (EDI)  -  Software package ADINA

FE analysis strategies for structural materials with small tensile strength

Borri, A. (Univ of Florence); Sorace, S. Source: Journal of Pressure Vessel Technology, Transactions of the ASME, v 115, n 2, May, 1993, p 156-163


Abstract: A review of the `smeared crack' approach to the finite element analysis of small tensile strength (STS) materials is presented. The most widely applied strategies for crack modeling, shear transfer mechanism, and the definition of the mechanical constitutive laws and failure criteria are critically discussed. The models and special options in the ANSYS, ADINA, and ABAQUS programs are considered in detail, and applied to the analysis of a square panel under boundary pressures. The three solutions were compared in terms of the final broadening of the panel cracked zones. The results of the analysis of an hemispherical dome over a cylindrical drum are also presented. The Romulus Temple in the Roman Forum was the reference structure for this FE model. The problem was analyzed by a special procedure using the ANSYS `concrete' element. The results were compared with those of a `discrete crack' solution which reproduced the real cracked configuration of the building, and then with an experimental survey carried out by the flat jack technique.

Keywords:  Structural analysis  -  Strength of materials  -  Tensile testing  -  Shear stress  -  Cracks  -  Domes  -  Structural panels  -  Pressure effects  -  Failure (mechanical)  -  Finite element method  -  Mathematical models  -  Computer software

Secondary  Keywords:  Smeared cracks  -  Shear transfer  -  Failure criteria  -  Mechanical constitutive laws  -  Small tensile strength materials  -  Roman forum  -  Romulus temple  -  Software package ABAQUS  -  Software package ADINA  -  Software package ANSYS

Some recent advances for practical finite element analysis

Bathe, K.J. (Massachusetts Inst of Technology); Walczak, J.; Zhang, H. Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 511-521


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: This paper illustrates some recent advances in finite element procedures that are important for practical engineering analysis. Capabilities to solve large finite element systems using iterative methods, and some significant advances in finite element procedures for the nonlinear analysis of structures and fluids are demonstrated. The emphasis is on presenting solution results that demonstrate the applicability of finite element procedures rather than on theoretical developments (which are available in references). (7 refs.)

Keywords:  Finite element method  -  Nonlinear equations  -  Iterative methods  -  Fluid dynamics  -  Structural analysis  -  Computer aided analysis  -  Computational methods

Secondary Keywords:  Nonlinear analysis


Simulation of ice-shedding on electrical transmission lines using ADINA

Jamaleddine, A. (Hydro-Quebec); McClure, G.; Rousselet, J.; Beauchemin, R. Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 523-536


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: Overhead power transmission lines are subject to various static and dynamic loads. Among the dynamic loads treated quasi-statically in the line design process are imbalances due to the sudden fall of ice accreted on conductors and ground wires, a phenomenon known as ice-shedding. In order to study the static and dynamic effects of this physical phenomenon on towers as well as on phase-to-phase and phase-to-tower spacing, a series of laboratory tests were conducted on a two-span reduced-scale setup representing two level, equal conductor spans anchored at the end points and suspended in the middle by an insulator string. In these experiments, ice-shedding loads were simulated by suddenly dropping dead-weights from the conductors. Concurrently, a nonlinear finite-element model using ADINA was developed to simulate the static and transient dynamic responses of the physical model. This paper describes the essential characteristics of the numerical model and compares its predictions with the experimental results from a typical case. The comparison shows the good performance of ADINA in modelling the static and transient dynamic responses of this highly nonlinear engineering phenomenon. (19 refs.)

Keywords:  Electric lines  -  Dynamic response  -  Loads (forces)  -  Ice problems  -  Structural analysis  -  Mathematical models  -  Nonlinear equations  -  Finite element method  -  Computer simulation  -  Computer software

Secondary  Keywords:  Electric transmission lines  -  Ice shedding  -  Phase to phase spacing  -  Phase to tower spacing  -  Software package ADINA


Finite element analysis of highway bridges subjected to moving loads

Saadeghvaziri, M.A. (New Jersey of Technology) Source: Computers and Structures, v 49, n 5, Dec 3, 1993, p 837-842


Abstract: This paper illustrates how a general purpose finite element package can be used to consider the dynamic effect of a moving load traversing a highway bridge. This objective is achieved by employing the load arrival time option in ADINA. It is shown that, if the problem is modelled property, the results are as good as the exact solution. Note that the exact solution is practically possible only for a simply supported bridge considering only the effect of the fundamental mode. Thus, using finite element a practical research study can be performed to develop graphical design aides for more accurate evaluation of the impact factor. (7 refs.)

Keywords:  Highway bridges  -  Structural analysis  -  Dynamic loads  -  Bearing capacity

Secondary Keywords:  Ultimate loads  -  Moving loads  -  Traffic load response


Inf-sup test

Chapelle, D. (Massachusetts Inst of Technology); Bathe, K.J. Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 537-545


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: We briefly review the inf-sup condition for the finite element solution of problems in incompressible elasticity, and then propose a numerical test on whether the inf-sup condition is passed. The evaluation of elements with this test is simple, and various results are presented. This inf-sup test will prove useful for many discretizations of constrained variational problems. (12 refs.)

Keywords:  Elasticity  -  Mathematical models  -  Finite element method  -  Variational techniques  -  Constraint theory

Secondary Keywords:  Incompressible elasticity  -  Inf-sup conditions  -  Numerical tests


Numerical evaluation of interface fracture parameters using ADINA

Lee, K.M. (Massachusetts Inst of Technology); Buyukozturk, O.; Leung, C.K.Y. Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 547-552


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: The problem of cracking at interfaces is pertinent not only to composite materials but also to structures with adhesive joints, thin films and coatings. Criteria are needed for the study of the crack growth scenarios in the interfacial region where relative magnitudes of the fracture energy for the constituent materials and that of the interface play an important role in cracking behavior. Interface fracture occurs when the interfacial energy release rate G is equal to the interfacial fracture energy Gi, that is characterized as a function of the loading phase y. Therefore, for the analysis of interfacial fracture both the energy release rate (G) and the loading phase angle y must be evaluated. In this paper, a numerical method is presented to obtain the values of these two parameters at the tip of an existing interface crack. Numerical analyses of three models containing interface cracks are performed using the ADINA finite element program. In general, good agreement between the results from the numerical calculation and the analytical solutions is obtained. (7 refs.)

Keywords:  Fracture mechanics  -  Interfaces (materials)  -  Interfacial energy  -  Crack propagation  -  Mathematical models  -  Finite element method  -  Computational methods  -  Computer software

Secondary  Keywords:  Fracture energy  -  Energy release rate  -  Loading phase angle  -  Software package ADINA


Numerical analysis of cyclic deformations and crack growth of pre-cracked steel components using the ADINA program system

Azodi, D. (Gesellschaft fuer Anlagen- und Reaktorsicherheit (GRS) mbH); Bachmann, P. Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 565-589


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: Our aim was to achieve a basic understanding of the vessel investigations under cyclic deformations and to validate ductile fracture mechanics concepts concerned with the cyclic J-integral. Several three-dimensional finite element analyses have been performed for components subjected to cyclic plastic deformations. Based on the slightly modified virtual crack extension method, cyclic J-integral values were computed and have been discussed. As long as the material plasticity around the crack tip is confined, the J-integral method is applicable and appears to be a suitable parameter for handling low-cycle fatigue problems. (6 refs.)

Keywords:  Fracture mechanics  -  Pressure vessels  -  Steel structures  -  Crack propagation  -  Deformation  -  Plasticity  -  Fatigue of materials  -  Structural analysis  -  Mathematical models  -  Integral equations  -  Finite element method  -  Computational methods  -  Computer software

Secondary  Keywords:  Precracked steel components  -  Cyclic deformations  -  Low cycle fatigue  -  J integrals  -  Software package ADINA

Applications of ADINA to evaluate analysis methodologies for predicting cleavage arrest and reinitiation of a deep crack in an RPV

Keeney-Walker, J. (Oak Ridge Natl Lab); Bass, B.R. Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 553-564


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: Several calculational procedures are compared for predicting cleavage arrest of a deep crack in the wall of a prototypical reactor pressure vessel (RPV) subjected to pressurized-thermal-shock (PTS) types of loading conditions. The three procedures examined in this study used the following models: (1) a static finite-element model (full bending); (2) a radially constrained static model; and (3) a thermoelastic dynamic finite-element model. A PTS transient loading condition was selected that produced a deep arrest of an axially oriented, initially shallow crack according to calculational results obtained from the static (full-bending) model. Results from the two static models were compared with those generated from the detailed thermoelastic dynamic finite-element analysis using ADINA. The dynamic analyses modeled cleavage-crack propagation using a node-release technique and application-mode methodologies. Comparisons presented here indicate that the degree to which dynamic solutions can be approximated by static models is highly dependent on several factors, including the material dynamic fracture curves and the propensity for cleavage reinitiation of the arrested crack under PTS loading conditions. Additional work is required to develop and validate a satisfactory dynamic fracture toughness model applicable to postcleavage arrest conditions in an RPV. (25 refs.)

Keywords:  Fracture mechanics  -  Nuclear reactors  -  Pressure vessels  -  Walls (structural partitions)  -  Crack propagation  -  Thermal load  -  Shock waves  -  Thermoelasticity  -  Structural analysis  -  Mathematical models  -  Finite element method  -  Computational methods  -  Computer software

Secondary  Keywords:  Deep cracks  -  Cleavage arrest  -  Crack reinitiation  -  Pressurized thermal shocks  -  Loading conditions  -  Fracture toughness  -  Static models  -  Application mode method  -  Node release technique  -  Software package ADINA


On static and dynamic refined analysis of reinforced concrete bridges

Chen, Y. (Pennsylvania State Univ at Harrisburg) Source: Computers and Structures, v 47, n 4-5, Jun 3, 1993, Nonlinear Finite Element and ADINA, p 601-613


Conference: Proceedings of the 9th ADINA Conference, Jun 23-25 1993, Cambridge, MA, USA

Abstract: A refined method for analyzing a bridge structure and system is discussed. An effective and efficient combined numerical integration scheme is proposed for dynamic analyzes. Modeling techniques, distribution of vehicle live loads, seismic analysis methods, and ground motion and soil-structure interaction effects on structural responses are discussed in detail. The results obtained from the present study are compared with those from the current bridge design code. The paper concludes with a number of real examples. (15 refs.)

Keywords:  Concrete bridges  -  Reinforced concrete  -  Structural analysis  -  Soil structure interactions  -  Dynamic loads  -  Seismic waves  -  Dynamic response  -  Structural design  -  Codes (standards)  -  Equations of motion  -  Mathematical models  -  Finite element method  -  Integration

Secondary Keywords:  Vehicle live loads  -  Ground motions


Finite element numerical evaluation of J-integral for cracked ductile cylinders

Feng, D.Z. (Zhejiang Inst of Technology); Zhang, K.D.; Xu, G.F. Source: Engineering Fracture Mechanics, v 46, n 3, Oct, 1993, p 481-489


Abstract: The numerical computational procedures of two independent J-integral definitions are described, one being the contour J-integral of Rice and the other the J-integral by energy release rate. The validity of the two procedures is confirmed in the linear elastic material range by comparing KI-values. Then, they are successfully applied in cracked ductile cylinders by using a post-processing program to the ADINA system. Numerical results show that the J-integral for a cracked ductile cylinder still follows the path independence, even though the material exhibits a large yield plateau in its true stress-strain curve, and that the two independent J-integral definitions are equivalent to each other. These conclusions, at least from the viewpoint of numerical analysis, provide a solid foundation for the applicability of the J-concept to the safe assessment of the ductile cylinder. (20 refs.)

Keywords:  Fracture mechanics  -  Integral equations  -  Finite element method  -  Cylinders (shapes)  -  Elasticity  -  Ductility  -  Failure (mechanical)  -  Stresses  -  Strain  -  Crack propagation

Secondary  Keywords:  Rice's contour J integral  -  J integral by energy release rate  -  Cracked ductile cylinders  -  Linear elastic material


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