Thermo-elastic material parameters identification using modified error in constitutive equation approach

References

• Lielens G , Pirotte P , Couniot A , et al . Prediction of thermo-mechanical properties for compression moulded composites. Compos Part A. 1998;29(1):63–70.
   Web of Science ®Google Scholar
• Meraghni F , Chemisky Y , Piotrowski B , et al . Parameter identification of a thermodynamic model for superelastic shape memory alloys using analytical calculation of the sensitivity matrix. Eur J Mech-A/Solids. 2014;45:226–237.
   Web of Science ®Google Scholar
• Ma Y , Yao X , Liu X , et al. Inversion and decoupling of thermo-mechanical deformation in anisotropic materials using the virtual fields method. Proc Roy Soc London A: Math Phys Eng Sci. 2013;469(2154):20130124.
   Web of Science ®Google Scholar
• Hao W , Guo G , Zhang Y , et al . Characterizing thermo-mechanical behavior of superalloy using the eigenfunction virtual fields method. Adv Eng Softw. 2016;93:22–29.
   Web of Science ®Google Scholar
• Hao W , Zhang Y , Yuan Y . Eigenfunction virtual fields method for thermo-mechanical parameters identification of composite materials. Polym Test. 2016;50:224–234.
   Web of Science ®Google Scholar
• Boso DP . A simple and effective approach for thermo-mechanical modelling of composite superconducting wires. Supercond Sci Technol. 2013;26(4):045006.
   Web of Science ®Google Scholar
• Dong J , Liu Z , Gao J . Multi-parameter inversion and thermo-mechanical deformation decoupling using i-dic. Exp Mech. 2016;57(1):1–9.
   Web of Science ®Google Scholar
• Doebling SW , Farrar CR , Prime MB , et al. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos National Lab., NM (United States). Technical Report; 1996.
   Google Scholar
• Carden EP , Fanning P . Vibration based condition monitoring: a review. Struct Health Monit. 2004;3(4):355–377.
   Web of Science ®Google Scholar
• Salawu O . Detection of structural damage through changes in frequency: a review. Eng Struct. 1997;19(9):718–723.
   Web of Science ®Google Scholar
• Bonnet M , Constantinescu A . Inverse problems in elasticity. Inverse Probl. 2005;21:R1–R50.
   Web of Science ®Google Scholar
• Avril S , Bonnet M , Bretelle AS , et al . Overview of identification methods of mechanical parameters based on full-field measurements. Exp Mech. 2008;48(4):381–402.
   Web of Science ®Google Scholar
• Soares CM , De Freitas MM , Araújo A , et al . Identification of material properties of composite plate specimens. Compos Struct. 1993;25(1):277–285.
   Web of Science ®Google Scholar
• Bruno L , Furgiuele F , Pagnotta L , et al . A full-field approach for the elastic characterization of anisotropic materials. Opt Lasers Eng. 2002;37(4):417–431.
   Web of Science ®Google Scholar
• Bledzki A , Kessler A , Rikards R , et al . Determination of elastic constants of glass/epoxy unidirectional laminates by the vibration testing of plates. Compos Sci Technol. 1999;59(13):2015–2024.
   Web of Science ®Google Scholar
• Grédiac M , Toussaint E , Pierron F . Special virtual fields for the direct determination of material parameters with the virtual fields method. 1-principle and definition. Int J Solids Struct. 2002;39(10):2691–2705.
   Web of Science ®Google Scholar
• Grédiac M , Toussaint E , Pierron F . Special virtual fields for the direct determination of material parameters with the virtual fields method. 2-application to in-plane properties. Int J Solids Struct. 2002;39(10):2707–2730.
   Web of Science ®Google Scholar
• Grédiac M , Pierron F . Applying the virtual fields method to the identification of elasto-plastic constitutive parameters. Int J Plast. 2006;22(4):602–627.
   Web of Science ®Google Scholar
• Pierron F , Avril S , Tran VT . Extension of the virtual fields method to elasto-plastic material identification with cyclic loads and kinematic hardening. Int J Solids Struct. 2010;47(22):2993–3010.
   Web of Science ®Google Scholar
• Araujo A , Soares CM , De Freitas MM , et al . Combined numerical-experimental model for the identification of mechanical properties of laminated structures. Compos Struct. 2000;50(4):363–372.
   Web of Science ®Google Scholar
• Syed-Muhammad K , Toussaint E , Grediac M , et al . Characterization of composite plates using the virtual fields method with optimized loading conditions. Compos Struct. 2008;85(1):70–82.
   Web of Science ®Google Scholar
• Hwang SF , Wu JC , He RS . Identification of effective elastic constants of composite plates based on a hybrid genetic algorithm. Compos Struct. 2009;90(2):217–224.
   Web of Science ®Google Scholar
• Bruno L , Felice G , Pagnotta L , et al . Elastic characterization of orthotropic plates of any shape via static testing. Int J Solids Struct. 2008;45(3):908–920.
   Web of Science ®Google Scholar
• Rahmani B , Ghossein E , Villemure I , et al . In-situ mechanical properties identification of 3d particulate composites using the virtual fields method. International J Solids Struct. 2014;51(18):3076–3086.
   Web of Science ®Google Scholar
• Nocedal J , Wright S . Numerical optimization. New York (NY): SIAM, Springer; 2000.
   Google Scholar
• Oberai A , Gokhale N , Feijoo G . Solution of inverse problems in elasticity imaging using the adjoint method. Inverse Probl. 2003;19:297–313.
   Web of Science ®Google Scholar
• Oberai A , Gokhale N , Doyley M , et al . Evaluation of the adjoint equation based algorithm for elasticity imaging. Phys Med Biol. 2004;49:2955–2974.
   PubMed Web of Science ®Google Scholar
• Ladevèze P , Leguillon D . Error estimate procedure in the finite element method and applications. SIAM J Numer Anal. 1983;20(3):485–509.
   Web of Science ®Google Scholar
• Ladevèze P , Chouaki A . Application of a posteriori error estimation for structural model updating. Inverse Probl. 1999;15(1):49–58.
   Web of Science ®Google Scholar
• Allix O , Feissel P , Nguyen H . Identification strategy in the presence of corrupted measurements. Eng Comput. 2005;22:487–504.
   Google Scholar
• Feissel P , Allix O . Modified constitutive relation error identification strategy for transient dynamics with corrupted data: the elastic case. Comput Methods Appl Mech Eng. 2007;196:1968–1983.
   Web of Science ®Google Scholar
• Geymonat G , Hild F , Pagano S . Identification of elastic parameters by displacement field measurement. C R Mec. 2002;330(6):403–408.
   Web of Science ®Google Scholar
• Geymonat G , Pagano S . Identification of mechanical properties by displacement field measurement: a variational approach. Meccanica. 2003;38(5):535–545.
   Web of Science ®Google Scholar
• Florentin E , Lubineau G . Identification of the parameters of an elastic material model using the constitutive equation gap method. Comput Mech. 2010;46:521–531.
   Web of Science ®Google Scholar
• Moussawi A , Lubineau G , Florentin E , et al . The constitutive compatibility method for identification of material parameters based on full-field measurements. Comput Methods Appl Mech Eng. 2013;265:1–14.
   Web of Science ®Google Scholar
• Shifrin E , Shushpannikov P . Identification of an ellipsoidal defect in an elastic solid using boundary measurements. International J Solids Struct. 2011;48(7):1154–1163.
   Web of Science ®Google Scholar
• Lubineau G , Moussawi A , Xu J , et al . A domain decomposition approach for full-field measurements based identification of local elastic parameters. Int J Solids Struct. 2015;55:44–57.
   Web of Science ®Google Scholar
• Moussawi A , Lubineau G , Xu J , et al . A 3d domain decomposition approach for the identification of spatially varying elastic material parameters. Int J Numer Methods Eng. 2015;102(7):1431–1448.
   Web of Science ®Google Scholar
• Blaysat B , Florentin E , Lubineau G , et al . A dissipation gap method for full-field measurement-based identification of elasto-plastic material parameters. Int J Numer Methods Eng. 2012;91(7):685–704.
   Web of Science ®Google Scholar
• Latourte F , Chrysochoos A , Pagano S , et al . Elastoplastic behavior identification for heterogeneous loadings and materials. Exp Mech. 2008;48(4):435–449.
   Web of Science ®Google Scholar
• Nguyen H , Allix O , Feissel P . A robust identification strategy for ratedependent models in dynamics. Inverse Probl. 2008;24:065006.
   Web of Science ®Google Scholar
• Guchhait S , Banerjee B . Constitutive error based material parameter estimation procedure for hyperelastic material. Comput Methods Appl Mech Eng. 2015;297:455–475.
   Web of Science ®Google Scholar
• Warner JE , Diaz MI , Aquino W , et al. Inverse material identification in coupled acoustic-structure interaction using a modified error in constitutive equation functional. Comput Mech. 2014;54(3):1–15.
   Web of Science ®Google Scholar
• Banerjee B , Walsh TF , Aquino W , et al . Large scale parameter estimation problems in frequency-domain elastodynamics using an error in constitutive equation functional. Comput Methods Appl Mech Eng. 2013;253:60–72.
   PubMed Web of Science ®Google Scholar
• Guchhait S , Banerjee B . Anisotropic linear elastic parameter estimation using error in constitutive equation functional. Proc Roy Soc London A: Math Phys Eng Sci. 2016;472(2192):20160213.
   Web of Science ®Google Scholar
• Banerjee B . Elastic parameter identification of plate structures using modal response: An ece based approach. J Eng Mech. 2016;142(1):04015059.
   Web of Science ®Google Scholar
• Parkus H . Thermoelasticity. New York (NY): Springer Science & Business Media; 2012.
   Google Scholar
• Vogel C . Computational methods for inverse problems. Philadelphia (PA): SIAM; 2002.
   Google Scholar
• ABAQUS . Abaqus standard documentation 6.10. 2. Providence, USA: ABAQUS Inc.; 2010.
   Google Scholar
• MATLAB . version 7.10.0 (r2010a). Natick (MA): The MathWorks Inc.; 2010.
   Google Scholar
• Van Rossum G , Drake FL . Python reference manual. Amsterdam: Centrum voor Wiskunde en Informatica; 1995.
   Google Scholar
• Pierron F , Grédiac M . The virtual fields method: extracting constitutive mechanical parameters from full-field deformation measurements. New York (NY): Springer Science & Business Media; 2012.
   Google Scholar
• Nigamaa N , Subramanian S . Identification of orthotropic elastic constants using the eigenfunction virtual fields method. Int J Solids Struct. 2014;51(2):295–304.
   Web of Science ®Google Scholar