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)

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. 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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An investigation of pulsatile flow past two cylinders as a model of blood flow in an artificial lung

Y. Lin1, Khalil M. Khanafer1, R.H. Bartlett2, R.B. Hirschl2, J.L. Bull1

1 Biomedical Engineering Department, The University of Michigan, Ann Arbor, MI 48109, United States
2 Department of Surgery, The University of Michigan, Ann Arbor, MI 48109, United States

International Journal of Heat and Mass Transfer, 54:3191–3200, 2011

Abstract: Pulsatile flow across two circular cylinders with different geometric arrangements is studied experimentally using the particle image velocimetry method and numerically using the finite element method. This investigation is motivated the need to optimize gas transfer and fluid mechanical impedance for a total artificial lung, in which the right heart pumps blood across a bundle of hollow microfibers. Vortex formation was found to occur at lower Reynolds numbers in pulsatile flow than in steady flow, and the vortex structure depends strongly on the geometric arrangement of the cylinders and on the Reynolds and Stokes numbers.

Keywords: Particle image velocimetry - Flow visualization - Secondary flow - Cylinders - Membrane oxygenator - Respiratory support - Mass transfer


Performance evaluation of a lightweight epoxy asphalt mixture for bascule bridge pavements

Z. Qian1, L. Chen1, C. Jiang2, S. Luo1

1 Intelligent Transport System Research Center, Southeast University, Nanjing 210096, China
2 T.Y.Lin International Engineering Consulting (China) Co., Ltd., Chongqing 401121, China

Construction and Building Materials, 25:3117–3122, 2011

Abstract: This paper proposes a lightweight epoxy asphalt mixture (LEAM) for pavement on bascule bridges. The material properties of LEAM are evaluated with the Marshall test, indirect tensile test, wheel tracking test, and bending beam test. Moreover, the structural performance of LEAM is evaluated by a finite element numerical analysis for a bascule bridge with LEAM pavement. Test results show that the LEAM has a good resistance to moisture damage, permanent deformation, and low-temperature cracking. The LEAM with a 70% lightweight aggregate replacement percentage has been found to have the best effect on deadweight reduction as well as the other performance measures. Moreover, the analytical result shows that LEAM can reduce pavement stress significantly when compared to an epoxy asphalt mixture, which indicates that the LEAM has a good structural performance.

Keywords: Lightweight epoxy asphalt mixture - Bascule bridge - Performance evaluation - Laboratory tests - Finite element model - Material properties - Structural performance


Fluid–structure interaction analysis of mixed convection heat transfer in a lid-driven cavity with a flexible bottom wall

A. Al-Amiri1, K. Khanafer2

1 Mechanical Engineering Department, United Arab Emirates University, United Arab Emirates
2 Vascular Mechanics Lab, Biomedical Engineering Department and Section of Vascular Surgery, University of Michigan, Ann Arbor, MI 48109, USA

International Journal of Heat and Mass Transfer, 54:3826–3836, 2011

Abstract: A numerical investigation of steady laminar mixed convection heat transfer in a lid driven cavity with a flexible bottom surface is analyzed. A stable thermal stratification configuration was considered by imposing a vertical temperature gradient while the vertical walls were considered to be insulated. In addition, the transport equations were solved using a finite element formulation based on the Galerkin method of weighted residuals. In essence, a fully coupled fluid–structure interaction (FSI) analysis was utilized in this investigation. Moreover, the fluid domain is described by an Arbitrary-Lagrangian– Eulerian (ALE) formulation that is fully coupled to the structure domain. Comparisons of streamlines, isotherms, bottom wall displacement and average Nusselt number were made between rigid and flexible bottom walls. The results of this investigation revealed that the elasticity of the bottom wall surface plays a significant role on the heat transfer enhancement. Furthermore, the contribution of the forced convection heat transfer to that offered by natural convection heat transfer has a profound effect on the behavior of the flexible wall as well as the momentum and energy transport processes within the cavity. This investigation paves the road for future research studies to consider flexible walls when augmentation of heat transfer is sought.
Keywords: Elasticity - Fluid–structure interaction - Lid-driven cavity - Mixed convection


Mechanically fastened joints in composite laminates: Evaluation of load bearing capacity

A.A. Pisano, P. Fuschi

Dipartimento Arte Scienza e Tecnica del Costruire, University Mediterranea of Reggio Calabria, via Melissari, I-89124 Reggio Calabria, Italy

Composites: Part B, 42: 949–961, 2011

Abstract: Mechanical fasteners, commonly used in many advanced engineering applications dealing with composite laminates, play the main role of transferring loads between the linked structural elements. The present study, focused on pinned-joints, explores the possibility of applying a direct method for evaluating the joint’s strength as well as for predicting some of the more common joint’s failure mechanisms. A limit analysis numerical approach for statically loaded pinned-joint orthotropic laminates in plane stress conditions is proposed. Two well known numerical procedures for limit analysis likewise having common roots, namely the Linear Matching Method and the Elastic Compensation Method, are utilized to evaluate upper and lower bounds to the joint collapse load. Both methods are rephrased assuming for the material in use a Tsai–Wu type yield surface. The results obtained are compared and plotted against some available experimental findings. Some final remarks draw attention to the potentialities and the limits of the proposed approach.

Keywords: Laminates - Strength - Numerical analysis


Numerical investigation of the parameters influencing the behaviour of FRP shear-strengthened beams

A. Godat1, P. Labossière2, K.W. Neale2

1 Department of Construction Engineering, Université de Québec, École Technologie Supérieure, Montreal (QC), Canada H3C 1K3
2 Département de génie civil, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1

Construction and Building Materials, In press 2011

Abstract:  A finite element model developed to identify the parameters that have the most influence on the behaviour of FRP shear-strengthened beams is presented. The parameters investigated are the amount of steel stirrups, the concrete compressive strength, the stiffness of the FRP, the amount of FRP, and the shear span-to-effective depth ratio. The variation of the axial strain in the FRP is the main focus. The parameters responsible for characterising the initiation and propagation of debonding are also investigated. These are the interfacial stiffness, the interfacial bond strength and the interfacial fracture energy. The significance of the present findings with respect to each parameter is discussed.

Keywords: Numerical analysis - Shear strengthening - Reinforced concrete beams - Fibre- reinforced polymers – Bond-slip model - Parametric study


Numerical modeling of a human stented trachea under different stent designs

M. Malvè1,2, A. Pérez del Palomar3, A. Mena1,2, O. Trabelsi1,2, J.L. López-Villalobos4, A. Ginel4, F. Panadero4, M. Doblaré1,2

1 Group of Structural Mechanics and Materials Modeling, Aragón Institute of Engineering Research (I3A), Universidad de Zaragoza, C/María de Luna s/n, E-50018 Zaragoza, Spain
2 Centro de Investigacíon Biomédica en Red en Bioingeniería Biomateriales y Nanomedicina (CIBER-BBN), C/Poeta Mariano Esquillor s/n, E-50018 Zaragoza
3 M2BE - Multiscale in Mechanical and Biological Engineering, Aragón Institute of Engineering Research (I3A), Universidad de Zaragoza, C/María de Luna s/n, E-50018 Zaragoza, Spain
4 Hospital Virgen del Rocío, Department of Thoracic Surgery, Seville, Spain

International Communications in Heat and Mass Transfer, In press 2011

Abstract: Endotracheal stenting is a common treatment for tracheal disorders as stenosis, cronic cough or dispnoea episodes. However, medical treatment and surgery are still challenging due to the difficulties in overcoming potential prosthesis complications. In this work we analyze the response of the tracheal wall during breathing and coughing conditions under different stent implantations. A finite element model of a human trachea was developed and used to analyze tracheal deformability after prosthesis implantation under normal breathing and coughing using a fluid-structure interaction approach (FSI). The geometry of the trachea is obtained from computed tomography (CT) images of a healthy patient. A structured hexahedral-based grid for the tracheal wall and an unstructured tetrahedral-based mesh with coincident nodes for the fluid were used to perform the simulations with a finite element-based commercial software code. Tracheal wall is modeled as a fiber reinforced hyperelastic solid material in which the anisotropy due to the orientation of the fibers is taken into account. Deformations of the tracheal cartilage rings and of the muscle membrane, as well as the maximum principal stresses in the wall, are analyzed and compared with those of the healthy trachea in absence of prosthesis. The results showed that, the presence of the stent prevents tracheal muscle deflections especially during coughing. In addition, we proposed a methodology to evaluate, through numerical simulations, the predisposition of the stent to migrate.

Keywords: Trachea -  Finite element method - Fluid-solid interaction - Fiber reinforced material -
Dumon stent - Ultraflex stent


Dynamic modeling of lung tumor motion during respiration

E. Kyriakou and D.R. McKenzie

School of Physics, University of Sydney, NSW 2006, Australia

Phys. Med. Biol., 56:2999–3013, 2011

Abstract: A dynamic finite element model of the lung that incorporates a simplified geometry with realistic lung material properties has been developed. Observations of lung motion from respiratory-gated computed tomography were used to provide a database against which the predictions of the model are assessed. Data from six patients presenting with lung tumors were processed to give sagittal sections of the lung containing the tumor as a function of the breathing phase. Statistical shape modeling was used to outline the diaphragm, the tumor volume and the thoracic wall at each breathing phase. The motion of the tumor in the superior–inferior direction was plotted against the diaphragm displacement. The finite element model employed a simplified geometry in which the lung material fills a rectangular volume enabling two-dimensional coordinates to be used. The diaphragm is represented as a piston, driving the motion. Plots of lung displacement against diaphragm displacement form hysteresis loops that are a sensitive indicator of the characteristics of the motion. The key parameters of lung material that determine the motion are the density and elastic properties of lung material and the airway permeability. The model predictions of the hysteresis behavior agreed well with observation only when lung material is modeled as viscoelastic. The key material parameters are suggested for use as prognostic indicators of the progression of disease and of changes arising from the response of the lung to radiation treatment.


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