Browse > Article
http://dx.doi.org/10.12989/sem.2004.18.1.059

Solids 3-D with bounded tensile strength under the action of thermal strains. Theoretical aspects and numerical procedures  

Pimpinelli, Giovanni (Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Bari)
Publication Information
Structural Engineering and Mechanics / v.18, no.1, 2004 , pp. 59-78 More about this Journal
Abstract
This paper is devoted to illustrate some numerical procedures to solve the boundary equilibrium problems of three-dimensional solids that are subjected to thermal strains. The constitutive equations take into account the bounded tensile strength of the material and they are presented in the framework of non-linear elasticity and small strains. The associated equilibrium problem is solved numerically by means of the finite element method and the numerical techniques, i.e. the Newton-Raphson method and the secant method, are revised in order to assure the solution convergence of the discretized problem. Some numerical examples are illustrated.
Keywords
masonry; thermal strain; bounded tensile strength; finite element;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 Alfano, G., Rosati, L. and Valoroso, N. (2000), "A numerical strategy for finite element analysis of no-tension materials", Int. J. Numer. Meth. Eng., 48, 317-350.   DOI   ScienceOn
2 Del Piero, G. (1989), "Constitutive equation and compatibility of the external loads for linear elastic masonrylike materials", Meccanica, 24, 150-162.   DOI
3 Green, A.E. and Mkrtichian, J.Z. (1977), "Elastic solids with different moduli in tension and compression", J. Elasticity, 7, 369-386.   DOI   ScienceOn
4 Lucchesi, M., Padovani, C. and Pasquinelli, G. (1995), "On the numerical solution of equilibrium problems for elastic solids with bounded tensile strength", Comput. Meth. Appl. Mech. Eng., 127, 37-56.   DOI   ScienceOn
5 Ogden, R.W. (1997), "Non-linear elastic deformations", Dover Publications, Inc., Mineola, New York.
6 Romano, G. and Sacco, E. (1984), "No-tension materials: constitutive equations and structural analysis", Atti dellI'stituto di Scienza delle Costruzioni, Internal Report no. 350 (in italian)
7 Simo, J.C. and Rifai, M.S. (1990), "A class of mixed assumed strain methods and the method of incompatible modes", Int. J. Numer. Meth. Eng., 29, 1595-1638.   DOI
8 Padovani, C. (2000), "On a class of non-linear elastic materials", Int. J. Solids Struct., 37, 7787-7807.   DOI   ScienceOn
9 Pimpinelli, G. (2003), "On an improved numerical method to solve the equilibrium problems of solids with bounded tensile strength that are subjected to thermal strain", Struct. Eng. Mech., 15, 395-414.   DOI   ScienceOn
10 Lucchesi, M., Padovani, C. and Zani, N. (1996), "Masonry-like solids with bounded compressive strength", Int. J. Solids Struct., 33, 1961-1994.   DOI   ScienceOn
11 Curnier, A., He, Q. and Zysset, P. (1995), "Conewise linear elastic materials", J. Elasticity, 37, 1-38.   DOI
12 Lucchesi, M., Padovani, C. and Pasquinelli, G. (2000), "Thermodynamics of no-tension materials", Int. J. Solids Struct., 37, 6581-6604.   DOI   ScienceOn
13 Sacco, E. (1990), "Modeling and analysis of structures made of no-tension material", Atti dell'Accademia Nazionale dei Lincei, 9, 235-258 (in italian)
14 Wilson, E.L., Taylor, R.L., Doherty, W.P. and Ghaboussy, J. (1973), "Incompatible displacement models", In: Fenves SJ, al., editors. Numerical and Computer Models in Structural Mechanics. New York: Academic Press.
15 Exadaktylos, G.E., Vardoulakis, I. and Kourkoulis, S.K. (2001), "Influence of nonlinearity and double elasticity on flexure of rock beams - I Technical Theory", Int. J. Solids Struct., 39, 4091-4117.
16 Lucchesi, M., Padovani, C. and Pagni, A. (1994), "A numerical method for solving equilibrium problems of masonry-like solids", Meccanica, 29, 109-123.   DOI
17 Padovani, C., Pasquinelli, G. and Zani, N. (2000), "A numerical method for solving equilibrium problems of notension solids subjected to thermal loads", Comput. Meth. Appl. Mech. Eng., 190, 55-73.   DOI   ScienceOn