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



To Enrich Life
(Sample pages here)

To Download — Second Edition of the Book "Finite Element Procedures" (6th printing)

You are welcome to download the second edition of the book, 6th 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 7th 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)

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

Following are more than 700 publications — that we know of — with reference to the use of ADINA. Since there are numerous papers published in renowned journals, we can only give here a selection. 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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The linear and nonlinear stability loss of structures due to thermal load

Handrik, M.1, Vaško, M.1, Kopas, P.1, Mózer, V.2

1 University of Žilina, Faculty of Mechanical Engineering, Department of Applied Mechanics, Univerzitná 1, Žilina, 01026, Slovakia
2 University of Žilina, Faculty of Security Engineering, Department of Fire Engineering, Univerzitná 1, Žilina, 01026, Slovakia

Procedia Engineering, Volume 136, 2016, Pages 359-364

Abstract: The paper deals with the linear stability loss of metal bearing structures which are thermally loaded. The source of the thermal load is burning and it acts on the metal construction. Analysis of combustion and spread of fire can be simulated using computational program Fire Dynamics Simulator (FDS). An elastic and elastic-plastic temperature-dependent material model is considered in the structure. FEM ADINA software is used for the stability loss analysis of the structure. Mapping algorithm of burning simulation is used for the results transfer from the FDS into the ADINA program. The linear and nonlinear loss of stability calculation of the steel bearing structure is subsequently realized in the ADINA.

Keywords: ADINA - burning simulation - FEM analysis - Fire Dynamics Simulator - material properties - stability loss - thermally loaded structures


Deformation of aluminium thin plate

Klimenda, F.1, Soukup, J.1, Zmindak, M.2

1 Faculty of Production Technology and Management, University of J. E. Purkyne in Usti nad Labem, Pasteurova 3334/7, Usti nad Labem, 400 01, Czech Republic
2 Faculty of Material Engineering, University of Zilina, Univerzitna 1, 010 26, Slovakia

Manufacturing Technology: 2015, Volume 16, Issue 1, 2016, Pages 124-129

Abstract: The article is deals by an introduction to the theory of impact load for thin plates. This is the plates that are characterized by a structure which is bounded by upper and lower surface plane. These surfaces are spaced by a distance h, which is substantially smaller in comparison which other dimensions of the plate (a × b). The impact causes a deformation of the plate which is vibrated. The deformation is only within the limits of Hook's law. Therefore there is not permanent deformation of the plate. In the plate is induced shear stress, bending stress and shear forces. The second part of the article is focused on the numerical solution of thin isotropic aluminium plate which is made from AL 99.9. This plate has a dimension of 100 × 100 × 2 mm. It was solved the deformation of the plate after the impact load which were produced in the centre of the plate by FEM in software ADINA. By results was a graph of the deformation, velocity and acceleration of response wave in the material.

Keywords: Deformation - Isotropic material - Stress - Vibration


A Numerical Study on the Implications of Subgrade Reinforcement with Geosynthetics in Pavement Design

Neves, J.1, Lima, H.2, Gonçalves, M.1

1 Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal
2 Infraestruturas de Portugal, Lisboa, Portugal

Procedia Engineering: Volume 143, 2016, Pages 888-895

Abstract: The main purpose of this paper is to present a numerical study to demonstrate the implications of subgrade reinforcement with geosynthetics in road pavement design. A parametric analysis was carried out with the finite element program ADINA using two-dimensional modeling. This analysis considered different pavement materials and structures, traffic conditions and subgrade soil quality. The pavement reinforcement effect was analyzed in terms of fatigue and rutting design criteria. Overall, the results of numerical modeling confirmed the reinforcement effect and pointed out the most important factors influencing the use of geosynthetics at the subgrade level for this purpose.

Keywords: ADINA - geosynthetics - modeling - pavement - reinforcement - road


Stress analysis of a steel structure for the calibration of car axle scales

Blatnický, M.1, Štauderová, M.2, Dižo, J.3

1 University of Žilina, Faculty of Mechanical Engineering, Department of Transport and Handling Machines, Univerzitná 8216/1, Žilina, 010 26, Slovakia
2 University of Žilina, Faculty of Mechanical Engineering, Department of Applied Mechanics, Univerzitná 8216/1, Žilina, 010 26, Slovakia
3 Univerzitná 8216/1, Žilina, 010 26, Slovakia

Transport Means - Proceedings of the International Conference: Volume 2016 - October, 2016, Pages 567-574

Abstract: The goal of this paper is the stress analysis of the welded steel structure, which will serve for the calibration of car axle scales for the load up to ten tons. The article includes basic knowledge of the theory of elasticity and strength and finite element method that were used for the task solution. Cores of the work were stress analyses of individual parts of the steel structure and buckling analysis performed in ADINA software and the design modification of the structure.

Keywords: ADINA software - Car - Stress analysis - Test device


Experimental and numerical investigation of aluminium lap joints made by RFSSW

Lacki, P., Derlatka, A.

Czestochowa University of Technology, Dąbrowskiego 69, Czestochowa, 42-201, Poland

Meccanica: Volume 51, Issue 2, 1 February 2016, Pages 455-462

Abstract: Friction stir welding is one of the newest methods of metal welding. The method is constantly being developed and friction stir spot welding (FSSW) is one of its varieties. The method is mainly used in the aircraft, automotive and shipbuilding industries. During the process, heat is generated as a result of friction between the tool and materials as well as plastic deformation of the joined materials. The paper presents a numerical analysis of welded structures made of 6061-T6 aluminium alloy. The specimens were joined by refill FSSW. This method joins metals in a solid state. The numerical calculations were performed using the ADINA System based on the finite element method. The sheets were modelled with shell elements and the joints were modelled with 3D-solid elements. The experimental investigations were carried out using a non-contact system allowing for measuring displacements and strains in real time. The numerical results were compared with the test ones. The structures were assessed regarding strength and the possibility of their application in the aircraft industry.

Keywords: Aluminium 6061-T6 - Finite element method - Refill friction stir spot welding (RFSSW)


Influence of laminated rubber bearings parameters on the seismic response of large LNG storage tanks

Guan, Y.1, Tarsenko, A.A.2, Huang, S.1, Chepur, P.V.2, Zhang, R.1

1 College of Pipeline and Civil Engineering, China University of Petroleum (Hua Dong), Qingdao, 266580, China
2 Tyumen State Oil and Gas University, Tyumen, 999081, Russian Federation

World Information on Earthquake Engineering: Volume 32, Issue 1, 1 March 2016, Pages 219-227

Abstract: Establish the finite element model of the large LNG storage tanks in Dongjiakou with ADINA, using different frequency and damping ratio of laminated rubber bearings as isolation device of tanks. Compare the effect of different isolation frequency and damping ratio to the tanks under earthquake. The results show that the greater the isolation frequency and damping ratio, displacement of internal and external tank, acceleration and control effect of liquid sloshing wave height more obvious, but the base shear, base overturning moment and dynamic fluid pressure will increase. So when selecting isolators, consider aspect ratio of tanks, isolation frequency, damping ratio and other parameters comprehensively, select the optimal combination to achieve the best damping effect.

Keywords: Damping ratio - Earthquake response, liquid-solid coupling - Isolation frequency - LNG storage tank


Heat distribution in disc brake

Klimenda, F., Soukup, J., Kampo, J.

University of J. E. Purkyne in Usti Nad Labem, Faculty of Production Technology and Management, Department of Machines and Mechanics, Pasteurova 3334/7, Usti nad Labem, 400 01, Czech Republic

AIP Conference Proceedings: Volume 1745, 30 June 2016, Article number 020021

Abstract: This article is deals by the thermal analysis of the disc brake with floating caliper. The issue is solved by numerically. The half 2D model is used for solution in program ADINA 8.8. Two brake discs without the ventilation are solved. One disc is made from cast iron and the second is made from stainless steel. Both materials are an isotropic. By acting the pressure force on the brake pads will be pressing the pads to the brake disc. Speed will be reduced (slowing down). On the contact surface generates the heat, which the disc and pads heats. In the next part of article is comparison the maximum temperature at the time of braking. The temperatures of both materials for brake disc (gray cast iron, stainless steel) are compares. The heat flux during braking for the both materials is shown.


Methodology for calculating the complete static carrying capacity of twin slewing bearing

Śpiewak, S.

Czestochowa University of Technology, Faculty of Mechanical Engineering and Computer Science, Institute of Mechanics and Machine Design, ul. Dabrowskiego 73, Czestochowa, 42-201, Poland

Mechanism and Machine Theory: Volume 101, 1 July 2016, Pages 181-194

Abstract: Results of research work concerning a special design solution of slewing bearings which is a twin slewing bearing have been presented in this article. The twin slewing bearing has an 8-point contact zone ball-raceway which is considered in a cross section of bearing rings. Characteristic features of these bearings have been described. The main thesis of this work concerns the adaptation of modern computer methods for solving the structural design problems of twin slewing bearing. A two-stage research program including the analysis of local issues contact the contact zone ball-raceway and the global analysis concerning a static carrying capacity of the twin slewing bearing have been proposed. Calculations were performed by using the finite elements method (FEM), ADINA program, analytical Eschmann's formulas and classical mechanics equations. The models and calculation presented in this paper were performed and based on geometric and material parameters which have been defined for selected twin slewing bearing. The method of determining the profile curves of static carrying capacity for twin slewing bearing, including all components of the load was described fully.

Keywords: Contact zone ball bearings-raceway - Numerical modeling - Radial and axial forces - Static carrying capacity - Tilting moment - Twin slewing bearings


Design of Optimization of Diaphragm Chamber Based on Finite Element Method

Ling, X.-Q., Zhang, Y.-L., Zhang, W.

NFC (Shenyang) Pump Machinery Co Ltd, Shenyang, China

Proceedings - 2015 International Conference on Computational Intelligence and Communication Networks, CICN 2015: 16 August 2016, Article number 7546170, Pages 627-629

Abstract: The Diaphragm Chamber is a critical component in fluid end of large scale diaphragm pump. Static strength failure and fatigue failure of diaphragm chamber are caused by high pressure of slurry flowing which is transported by diaphragm pump. It is necessary to analyze the inferences of different boundary shapes of diaphragm chamber on its static strength. In this paper, diaphragm chamber was simulated by finite element analysis program ADINA. Inferences of different boundary dimensions of diaphragm chamber on its strength are studied. Stress distribution graphs of diaphragm chamber can be obtained from analysis results. Maximum stresses of diaphragm chamber affected by different boundary shapes of diaphragm chamber are summarized. The analysis results in the paper provide some theoretical guidance for structure optimum of diaphragm chamber and manufacturing cost reduction.

Keywords: ADINA - Diaphragm Chamber - Diaphragm Pump - Shape Optimization


The method of finite spheres in three-dimensional linear static analysis

Lai, B., Bathe, K.J.

Massachusetts Institute of Technology, Cambridge, MA 02139, United States

Computers and Structures: Volume 173, 1 September 2016, Pages 161-173

Abstract: The objective of this paper is to assess the reliability and effectiveness of the method of finite spheres, a truly meshless overlapping finite element method, for the solution of practical three-dimensional linear elasticity problems. Advantages include simplified discretization and the elimination of element distortion. The method is implemented in the ADINA finite element program through a user-supplied element subroutine. The solutions of three increasingly complex three-dimensional problems are studied (1) to establish the reliability of the method for practical linear elasticity problems and (2) to assess the effectiveness of the method as compared to the standard finite element method. The solutions indicate that the method of finite spheres is between one and two orders of magnitude more expensive in computational time than the standard finite element method. This is still a promising result since there are significant time savings for the method of finite spheres during the pre-processing phase, particularly in the discretization of complicated three-dimensional geometries and because the overlapping sphere elements can be directly coupled to traditional finite elements.

Keywords: Computational cost - Meshless method - Method of finite spheres - Numerical integration - Partition of unity - Three-dimensional linear elasticity


In-Situ Structural Health Monitoring of a Reinforced Concrete Frame Embedded with Cement-Based Piezoelectric Smart Composites

Dong, B.1, Liu, Y.1, Qin, L.2, Wang, Y.1, Fang, Y.1, Xing, F.1, Chen, X.1

1 School of Civil Engineering, Guangdong Province Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University, Shenzhen, China
2 School of Civil and Architectural Engineering, University of Jinan, Jinan, China

Research in Nondestructive Evaluation, Volume 27, Issue 4, 1 October 2016, Pages 216-229

Abstract: The application of a novel cement-based piezoelectric (PZT) ceramic sensor to the in-situ stress-time history monitoring of a reinforced concrete frame structure is described in this article. Smart frame composite structures were produced and characterized by a range of experimental methods. ADINA, a finite element analysis program, was used to analyze the mechanical response of the concrete frame under static loading. The results show that the mechanical-electrical response of sensors embedded in a reinforced concrete frame structure follows a linear relationship under various loading conditions. The sensors are able to record the stress history of the frame under static loads. Moreover, the measured stress maxima agree well with the simulated results, and the smart structure is found to be capable of reliably monitoring the response of a frame structure during stress testing for different loading modes to real concrete structures. The study indicates that such cement-based PZT composites have a high feasibility and applicability to the in-situ stress-time history monitoring of reinforced concrete structures.

Keywords: Cement-based piezoelectric ceramic composites - finite element method - nondestructive testing - reinforced concrete frame - structural health monitoring


Traffic seismicity loaded historical building frequency parameters identification due to most commonly used truck in Slovakia

Papán, D., Valašková, V.

Department of Structural Mechanics and Applied Mathematic, Faculty of Civil Engineering, University of Žilina, Univerzitná 8215/1, Žilina, 010 26, Slovakia

MATEC Web of Conferences, Volume 86, 28 November 2016, Article number 07001

Abstract: Experimental investigation and combination with numerical modelling is one of the progressive method in many scientific areas. The structural dynamics including traffic seismicity effects are also becoming an increasing topic. The aim of this paper was to realize the numerical analysis of heritage Upper Gate in Modra - Slovakia and FEM simulation of the lorry T-815 natural vibration. These subsystems are dominant processes in traffic seismicity vibration effects in buildings. For this purpose the variants of FE model by computing program Scia engineering has been created for building and software ADINA for lorry. These models are important for the assessment of the dynamic vibration transmissibility due to mechanical impact load properties. The results of this simulation was evaluated in frequency area. Next part of the investigation was the realisation of the experimental measurement. The results obtained from the experiment were compared with FE analysis. Using of the theoretical analysis, experimental procedures results and FEM simulation of the natural vibration it seem to be the practical application for engineering practice in prediction and assessment buildings vibration due to seismicity induced by traffic.


Lateral-torsional buckling analysis of cantilever beam with tip lateral elastic brace under uniform and concentrated load

Zhang, W.-F.1,2, Liu, Y.-C.2, Hou, G.-L.2, Chen, K.-S.2, Ji, J.2, Deng, Y.2, Deng, S.-L.2

1 School of Architecture & Civil Engineering, Nanjing Institute of Technology, Nanjing, 211167, China
2 Heilongjiang Key Laboratory of Disaster Prevention, Mitigation and Protection Engineering, College of Civil and Architecture Engineering, Northeast Petroleum University, Daqing, 163318, China

International Journal of Steel Structures, Volume 16, Issue 4, 1 December 2016, Pages 1161-1173

Abstract: The studies on the lateral-torsional buckling of cantilever steel beam with tip lateral elastic brace are rarely reported. The total potential energy is first established for the lateral-torsional buckling of cantilever steel beam with tip lateral elastic brace under uniform and concentrated load. The modal trial function of the lateral displacement and torsional angle are expressed as trigonometric function combination with six terms. By introducing new dimensionless parameters, the analytical solution of the dimensionless buckling equation for the lateral-torsional buckling of cantilever steel beam with tip lateral elastic brace is obtained. With the help of 1stOpt software which is mathematical optimization analysis software, the non-dimensional critical moment formula of the lateral-torsional buckling of cantilever beam with tip lateral elastic brace is obtained. Then, the accuracy of the formula is verified by ADINA finite element software. The results show that the given critical moment formula is of high accuracy. It provides convenient and simple design method for practical engineering.

Keywords: cantilever steel beam - critical momentelastic brace - energy variational method - lateral-torsional buckling


Nonlinear finite element analysis of steel fibre-reinforced concrete beam under static loading

Awoyera, P.O.

Department of Civil Engineering, Covenant University, P.M.B. 1023, Ota, Nigeria

Journal of Engineering Science and Technology, Volume 11, Issue 12, December 2016, Pages 1669-1677

Abstract: A nonlinear finite element analysis of steel fibre-reinforced concrete beams subjected to static loading was explored using ADINA software. A predefined 3D model of concrete beam of dimension 100 mm×100 mm×500 mm was prepared using the smeared crack approach to fracture of concrete in the mode I; this model simulates a nonlinear response in tension. Stress redistribution was performed by the equilibrium iterations process. Both stresses and displacements occurring at different node locations of the element were carefully examined. In addition, the results of laboratory experiments conducted on concrete beams with a fibre content of 60 kg/m3 based on volume (that is: 0.75% and 1% by volume of concrete) were compared to the analytical results in order to ascertain the consistency of the results. It was realized that the interfacial bond between the concrete and the fibres has a significant effect on the overall performance of the strengthened members.

Keywords: ADINA - Concrete - Crack - Finite element - Steel fibre


Mechanical performance of SiC three-layer cladding in PWRs

Angelici Avincola, V.1, Guenoun, P.2, Shirvan, K.2

1 Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany
2 Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, United States

Nuclear Engineering and Design, Volume 310, 15 December 2016, Pages 280-294

Abstract: The silicon carbide cladding concept is currently under investigation with regard to increasing the accident tolerance and economic performance of light-water reactor fuels. In this work, the stress fields in the multi-layered silicon carbide cladding for LWR fuels are calculated using the commercial finite element analysis software ADINA. The material properties under irradiation are implemented as a function of temperature. The cladding is studied under operating and accident conditions, specifically for the loss-of-coolant accident (LOCA). During the LOCA, the blowdown and the reflood phases are modeled, including the quench waterfront. The calculated stresses along the cladding thickness show a high sensitivity to the assumptions regarding material properties. The resulting stresses are compared with experimental data and the probability of failure is calculated considering a Weibull model.


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