References

Every aspect of our software is well documented and based on solid references. Check out this small list of selected books and articles - fascinating stuff.

Books

  • Finite Element Procedures, K. J. Bathe, Prentice Hall, Englewood Cliffs, NJ, 1996.
  • The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, T. J. R. Hughes, Prentice Hall, Englewood Cliffs, NJ, 1987.
  • The Finite Element Method, 4th ed., Vol. 1, O. C. Zienkiewicz and R. L. Taylor, McGraw-Hill, London, 1989.
  • The Finite Element Method, 4th ed., Vol. 2, O. C. Zienkiewicz and R. L. Taylor, McGraw-Hill, London, 1991.
  • Finite Elements of Nonlinear Continua, J. T. Oden, McGraw-Hill, New York, 1972.
  • Nonlinear Finite Elements for Continua and Structures, 3rd ed., T. Belytschko, W. K. Liu and B. Moran, John Wiley & Sons, Chichester, UK, 2000.
  • Finite Elements: their design and performance, R. H. MacNeal, Marcel Dekker, New York, New York, 1994.
  • The Finite Element Analysis of Shells - Fundamentals, D. Chapelle and K. J. Bathe, Springer-Verlag, Berlin Heidelberg, 2003.
  • Inelastic Analysis of Solids and Structures, M. Kojic and K. J. Bathe, Springer-Verlag, Berlin Heidelberg, 2005.
  • Concepts and Applications of Finite Element Analysis, 4th ed., R. D. Cook, D. S. Malkus, M. E. Plesha and R. J. Witt, John Wiley & Sons, NJ, 2002.
  • Finite Element Programming, 4th ed., E. Hinton and D. R. J. Owen, Academic Press, London, 1977.
  • The Finite Element Method Displayed, G. Dhatt and G. Touzot, John Wiley & Sons, Norwich, 1984.
  • Techniques of Finite Elements, B. Irons and S. Ahmad, John Wiley & Sons, New York, 1981.
  • An Introduction to the Finite Element Method, 3rd ed., J. N. Reddy, McGraw-Hill, New York, 2006.
  • Numerical methods for non-linear problems, Volume 2: Proceedings of the Second International Conference, Universidad Politecnica de Barcelona, Spain, April 9-13, 1984, C. Taylor, E. Hinton and D. R. J. Owen, Pineridge Press, Swansea, UK, 1984.
  • An Introduction to Nonlinear Finite Element Analysis, J. N. Reddy, Oxford University Press, New York, 2004.
  • Computer Methods in Structural Analysis, J. L. Meek, Chapman & Hall, London, 1991.
  • Finite Element Method: Basic Technique and Implementation, P. Tong and J. N. Rossettos, MIT Press, Cambridge, Mass., 1977.
  • Nonlinear Continuum Mechanics for Finite Element Analysis, 2nd ed., J. Bonet and R. D. Wood, Cambridge University Press, UK, 2008.
  • Dynamics of Structures, 2nd ed., R. W. Clough and J. Penzien, McGraw-Hill, New York, 1993.
  • Dynamics of Structures: Theory and Applications to Earthquake Engineering, 2nd ed., A. K. Chopra, Prentice Hall, Upper Saddle River, NJ, 2001.
  • Introduction to Finite Element Vibration Analysis, M. Petyt, Cambridge University Press, UK, 1990.
  • Fundamentals of Structural Dynamics, 2nd ed., R. R. Craig Jr. and A. J. Kurdila, John Wiley & Sons, New Jersey, 2006.
  • Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering, F. Y. Cheng, Marcel Dekker, New York, 2001.
  • Structural Dynamics: Theory and Applications, J. W. Tedesco, W. G. McDougal and C. A. Ross, Addison Wesley Longman, California, 1999.
  • Structural Dynamics: Theory and Computation, 5th ed., M. Paz and W. Leigh, Springer Science, New York, 2004.
  • Fundamentals of Finite Element Analysis, D. V. Hutton, McGraw-Hill, New York, 2004.
  • Analysis and Design of Elastic Beams - Computational Methods, W. D. Pilkey, John Wiley & Sons, NJ, 2002.
  • Matrix Analysis of Framed Structures, 3rd ed., W. Weaver Jr. and J. R. Gere, Kluwer Academic Publishers, Massachusetts, 2001.
  • Theory of Matrix Structural Analysis, J. S. Przemieniecki, McGraw-Hill, New York, 1968.
  • Structural Analysis and Behavior, F. Arbabi, McGraw-Hill, New York, 1991.
  • Matrix Structural Analysis, 2nd ed., W. McGuire, R. H. Gallagher and R. D. Ziemian, John Wiley & Sons, MA, 2000.
  • Mechanics of Composite Materials, 2nd ed., R. M. Jones, Taylor & Francis, New York, 1999.
  • Theory of Plates and Shells, 2nd ed., S. P. Timoshenko and S. Woinowsky-Krieger, McGraw-Hill, New York, 1959.
  • Theory of Elasticity, 3rd ed., S. P. Timoshenko and J. N. Goodier, McGraw-Hill, New York, 1970.
  • Strength of Materials, J. P. Den Hartog, Dover Publications, New York, 1977.
  • Advanced Strength of Materials, J. P. Den Hartog, Dover Publications, New York, 1987.
  • Formulas for Stress, Strain and Structural Matrices, 2nd ed., W. D. Pilkey, John Wiley & Sons, NJ, 2005.
  • Roark's Formulas for Stress and Strain, 6th ed., W. C. Young, McGraw-Hill, New York, 1989.
  • Matrix Computations, 3rd ed., G. H. Golub and C. F. Van Loan, John Hopkins University Press, Baltimore, 1996.
  • Programming the Finite Element Method, 3rd ed., I. M. Smith and D. V. Griffiths, John Wiley & Sons, Chichester, UK, 1998.
  • An Introduction to the Finite Element Method: Theory, Programming and Applications, E. G. Thompson, John Wiley & Sons, NJ, 2004.
  • Applied Finite Element Analysis, L. J. Segerlind, John Wiley & Sons, New York, 1984.
  • Finite Element Analysis with Error Estimators: An Introduction to the FEM and Adaptive Error Analysis for Engineering Students, J. E. Akin, Elsevier Butterworth-Heinemann, MA, 2005.
  • Non-linear Finite Element Analysis of Solids and Structures - Volume 1: Essentials, M. A. Crisfield, John Wiley & Sons, Chichester, UK, 1991.
  • Non-linear Finite Element Analysis of Solids and Structures - Volume 1: Advanced Topics, M. A. Crisfield, John Wiley & Sons, Chichester, UK, 1997.
  • Theory and Problems of Finite Element Analysis, G. R. Buchanan, Schaum's Outline Series, McGraw-Hill, New York, 1995.
  • Theories and Applications of Plate Analysis: Classical, Numerical and Engineering Methods, R. Szilard, John Wiley & Sons, NJ, 2004.
  • Fundamental Finite Element Analysis and Applications, M. A. Bhatti, John Wiley & Sons, NJ, 2005.
  • Advanced Topics in Finite Element Analysis of Structures, M. A. Bhatti, John Wiley & Sons, NJ, 2006.
  • Introduction to Finite Elements in Engineering, 3rd ed., T. R. Chandrupatla and A. D. Belegundu, Prentice Hall, 2002.
  • The Finite Element Method for Three-dimensional Thermomechanical Applications, G. Dhondt, John Wiley & Sons, Chichester, UK, 2004.
  • Classical and Computational Solid Mechanics, Y. C. Fung, P. Tong, World Scientific Co. Pte. Ltd, UK, 2001.

Articles

  • R. H. MacNeal and R. L. Harder, A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Element in Analysis and Design, North Holland, Vol. 1, pp 3-20, 1985.
  • K. J. Bathe, Solution Methods of Large Generalized Problems in Structural Engineering, Report UC SESM 71-20, Civil Engineering Department, University of California, Berkeley, 1971.
  • K. J. Bathe, H. Ozdemir and E. L. Wilson, Static and Dynamic Geometric and Material Nonlinear Analysis, Report UC SESM 74-4, Civil Engineering Department, University of California, Berkeley, 1974.
  • K. J. Bathe, Solution Methods for Large Eigenvalue Problems in Structural Engineering, Report UC SESM 71-20, Civil Engineering Department, University of California, Berkeley, 1971.
  • E. N. Dvorkin and K. J. Bathe, A Continuum Mechanics Based Four-Node Shell Element for General Nonlinear Analysis, Engineering Computations, Vol. 1, pp 77-88, 1984.
  • E. L. Wilson, Structural Analysis of Axisymmetric Solids, AIAA Journal, Vol. 3, No. 12, 1965, pp 2269-2274.
  • E. L. Wilson, Elastic Dynamic Response of Axisymmetric Structures, Report UC SEMM 69-02, Civil Engineering Department, University of California, Berkeley, 1969.
  • D. Chapelle and K. J. Bathe, Fundamental Considerations for the Finite Element Analysis of Shell Structures, Computers & Structures, Vol 66, No. 1, 1998, pp 19-36
  • D. Chapelle and K. J. Bathe, The mathematical shell model underlying general shell elements, Int. J. Numer. Meth. Engng., Vol 48, 2000, pp 289-313
  • T. J. R. Hughes, R. L. Taylor and W. Kanoknukulchai, A Simple and Efficient Finite Element for Plate Bending, International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp 1529-1543.
  • T. J. R. Hughes and M. Cohen, The 'Heterosis' Finite Element for Plate Bending, Computers & Structures, Vol. 9, 1978, pp 445-450.
  • T. J. R. Hughes and T. E. Tezduyar, Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element, Journal of Applied Mechanics, Vol. 48, 1981, pp 587-596.
  • K. J. Bathe and Lee-Wing Ho, A Simple and Effective Element for Analysis of General Shell Structures, Computers & Structures, Vol 13, 1981, pp 673-681
  • K. J. Bathe, A. Iosilevich and D. Chapelle, An evaluation of the MITC shell elements, Computers & Structures, Vol 75, 2000, pp 1-30
  • S. F. Pawsey, The Analysis of Moderately Thick to Thin Shells by the Finite Element Method, Report UC SESM 70-12, Civil Engineering Department, University of California, Berkeley, 1977.
  • J. P. Hollings and E. L. Wilson, 3-9 Node Isoparametric Planar or Axisymmetric Finite Element, Report UC SEMM 78-03, Civil Engineering Department, University of California, Berkeley, 1969.
  • R. J. Melosh, Basis for Derivation of Matrices for the Direct Stiffness Method, AIAA Journal, Vol. 1, No. 7, 1963, pp 1631-1637.
  • B. M. Irons, Engineering Applications of Numerical Integration in Stiffness Methods, AIAA Journal, Vol. 4, No. 11, 1966, pp 2035-2037.
  • E.L. Wilson, A. Der Kiureghian, E.P. Bayo, Short Communications A Replacement for the SRSS Method in Seismic Analysis, Earthquake Engineering and Structural Dynamics, Vol. 9, 1981, pp 187–194.
  • J. S. Archer, Consistent Matrix Formulations for Structural Analysis Using Finite-Element Techniques, AIAA Journal, Vol. 3, No. 10, 1965, pp 1910-1918.