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.

Non-linear material behaviors

J. Besson, G. Cailletaud, JL. Chaboche, S. Forest and M. Blétry, Non-Linear Mechanics of Materials, Springer (2009).
ISBN 978-90-481-3355-0
This book is to be 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.

DOI: 10.1016/0045-7825(95)00957-4

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.

DOI: 10.1016/S0045-7825(96)01111-5

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.

DOI: 10.1016/S0045-7825(96)01124-3

J.-L. Chaboche, A. Gaubert, P. Kanouté, A. Longuet, F. Azzouz, M. Mazière, Viscoplastic constitutive equations of combustion chamber materials including cyclic hardening and dynamic strain aging , International Journal of Plasticity, Volume 46 , Pages 1-22 (2013).

DOI: 10.1016/j.ijplas.2012.09.011

Multiscale approach

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.

DOI: 10.1016/S0020-7683(96)00162-X

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.

DOI: 10.1016/S0927-0256(99)00081-6

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.

DOI: 10.1016/S0045-7825(99)00224-8

G. Cailletaud, S. Forest, D. Jeulin, F. Feyel, I. Galliet, V. Mounoury, S. QuiliciSome elements of microstructural mechanics, Computational Materials Science, Volume 27, Issue 3, May 2003, Pages 351-374, ISSN 0927-0256.

DOI: 10.1016/S0927-0256(03)00041-7

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.

DOI: 10.1016/j.ijplas.2004.07.001

Lifetime estimation

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

DOI: 10.1016/S1566-1369(02)80089-9

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.

DOI: 10.1016/j.ijplas.2012.01.010

Composite materials

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.
DOI: 10.1016/j.engfracmech.2012.09.026

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).
DOI: 10.1177/0021998312470151

G. Grail, Approche multimodèle pour la conception de structures composites à renfort tissé, PhD-Thesis, University of Orléans, 2013.