Abstract
During the last twenty years large interest has been given to internal variable formulations [1]–[5], which are often utilised for the description of nonlinear effects. Such formulations are quite popular in the field of Structural Engineering and are frequently found when plastic strains, damage processes and viscosity are considered. Their importance is mainly due to the possibility of developing a unified theoretical framework for the description of constitutive equations. In addition, they often allow one to focus on the fundamental features of constitutive laws in a simple way.
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6. References
Kestin, J. and Rice, J.R.: Paradoxes on the application of thermodynamics to strained solids, in E.B. Stuart, B. Galor and A. J. Brainard (eds.), A Critical Review of Thermodynamics, Mono Book Corp., 1970, pp. 275–298.
Germain, P.: Cours de Méchanique des Mileux Continus, Masson, Paris, 1973.
Martin, J.B.: Plasticity: Fundamentals and General Results, MIT Press, Cambridge, 1975.
Halphen B. and Nguyen, Q.S.: Sur les matériaux standards généralisés, J. Méc, 14 (1975), pp. 39–63.
Lemaitre, J. and Chaboche, J.L.: Mécanique des matériaux solides, Dunod, Paris, 1985.
Drucker, D.C: On the postulate of stability of materials in mechanics of continua, J. de Méchanique, 3 (1964), pp. 235–249.
Martin, J.B. and Nappi, A.: An internal variable formulation for perfectly plastic and linear hardening relations in plasticity, European J. Mech., A/Solids, 9 (1990), pp. 107–131.
Polizzotto, C.: An energy approach to the boundary element method. Part II: elastic-plastic solids, Computer Methods in Applied Mechanics and Engineering, 69 (1988), pp. 236–276.
Maier, G. & Polizzotto, C.: A Galerkin approach to boundary element elastoplastic analysis, Computer Methods in Applied Mechanics and Engineering, 60 (1987), pp. 175–194.
Nappi, A., Facchin, G. and Rajgelj, S.: Boundary element algorithms for elastic-plastic analysis: an extension to describe damage effects, Eng. Analysis with Boundary Elements, 14 (1994), pp. 15–24.
Nappi, A.: An Internal Variable Approach Applied to Boundary Element Elastic-Plastic Analysis, IABEM 95 Conference Proceedings, 1995, to appear.
Nappi, A.: Application of convex analysis concepts to the numerical solution of elastic-plastic problems by using an internal variable approach, Eng. Optimization, 18 (1991), pp. 79–92.
Comi, C. and Maier, G.: Extremum, convergence and stability properties of the finite-increment problem in elastic-plastic boundary element analysis, Int. J. Solids and Structures, 29 (1992), pp. 249–270.
Polizzotto, C.: An energy approach to the boundary element method. Part I: elastic solids, Computer Methods in Applied Mechanics and Engineering, 69 (1988), pp. 167–184.
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Nappi, A. (1997). An Internal Variable Approach Applied to Boundary Element Nonlinear Structural Analysis. In: Morino, L., Wendland, W.L. (eds) IABEM Symposium on Boundary Integral Methods for Nonlinear Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5706-3_27
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DOI: https://doi.org/10.1007/978-94-011-5706-3_27
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