Here is a list of selected publications related to Z-set. The papers in the “methodology” section describe the theoretical background behind the finite element software. The other sets span different themes that may be studied using Z-set.
J. Besson, G. Cailletaud, JL. Chaboche, S. Forest and M. Blétry, Non-Linear Mechanics of Materials, Springer (2009).
This book is often considered as Z-set’s theory manual. It also exists in French:
J. Besson, G. Cailletaud, JL. Chaboche, S. Forest, Mécanique non linéaire des matériaux, Hermès (2001). ISBN 2-7462-0268-9.
J.-L. Chaboche, G. Cailletaud, Integration methods for complex plastic constitutive equations, Computer Methods in Applied Mechanics and Engineering, Volume 133, Issues 1–2, 15 June 1996, Pages 125-155, ISSN 0045-7825.
R. Foerch, J. Besson, G. Cailletaud, P. Pilvin, Polymorphic constitutive equations in finite element codes, Computer Methods in Applied Mechanics and Engineering, Volume 141, Issues 3–4, 28 February 1997, Pages 355-372, ISSN 0045-7825.
J. Besson, R. Foerch, Large scale object-oriented finite element code design, Computer Methods in Applied Mechanics and Engineering, Volume 142, Issues 1–2, 15 March 1997, Pages 165-187, ISSN 0045-7825.
J.-L. Chaboche, Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers, International Journal of Solids and Structures, Volume 34, Issue 18, June 1997, Pages 2239-2254, ISSN 0020-7683.
S. Quilici, G. Cailletaud, FE simulation of macro-, meso- and micro-scales in polycrystalline plasticity, Computational Materials Science, Volume 16, Issues 1–4, December 1999, Pages 383-390, ISSN 0927-0256.
F. Feyel, J.-L. Chaboche, FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials, Computer Methods in Applied Mechanics and Engineering, Volume 183, Issues 3–4, 17 March 2000, Pages 309-330, ISSN 0045-7825.
G. Cailletaud, S. Forest, D. Jeulin, F. Feyel, I. Galliet, V. Mounoury, S. Quilici, Some elements of microstructural mechanics, Computational Materials Science, Volume 27, Issue 3, May 2003, Pages 351-374, ISSN 0927-0256.
J.L. Chaboche, P. Kanouté, A. Roos, On the capabilities of mean-field approaches for the description of plasticity in metal matrix composites, International Journal of Plasticity, Volume 21, Issue 7, July 2005, Pages 1409-1434, ISSN 0749-6419.
E. Nicouleau, F. Feyel, S. Quilici, G. Cailletaud, Structural calculation and lifetime-prediction in thermomechanical fatigue of engine components, European Structural Integrity Society, Volume 29, 2002, Pages 331-340
J.-L. Chaboche, P. Kanouté, F. Azzouz, Cyclic inelastic constitutive equations and their impact on the fatigue life predictions, International Journal of Plasticity, Volume 35, August 2012, Pages 44-66, ISSN 0749-6419.
T. Vandellos, M. Hautier, N. Carrère, C. Huchette, Development of a new fracture test to identify the critical energy release rate: The tensile flexure test on notched specimen, Engineering Fracture Mechanics 96 (2012) 641-655.
F. Laurin, N. Carrère, C. Huchette, and J.-F. Maire, A multiscale hybrid approach for damage and final failure predictions of composite structures, Journal of Composite Materials (2013).
G. Grail, Approche multimodèle pour la conception de structures composites à renfort tissé, PhD-Thesis, University of Orléans, 2013.