An evaluation of a protocol for the validation of computational solid mechanics models

The terminology of validation of computational models and the framework within which it should be performed has been well-defined in a series of standards documents developed in the United States. However, there is no universally accepted protocol for performing validation, although a number of approaches have been proposed. The objective of the reported study was to assess the effectiveness and usefulness of a recently published approach that provides an efficient method for comparing data fields from the simulations and experiments, and which incorporates the uncertainty arising in the experimental data in the assessment of the model validity. An international comparison exercise was designed based on the standard for Inter-Laboratory Studies. Fifteen organisations participated in the Inter-Laboratory Study and the results demonstrated the efficacy of the validation protocol and provided feedback on a number of issues, including the definition of regions of interest, the need for a measure of the quality of the simulation results and importance of designing experiments specifically for validation exercises. The refined validation protocol has been incorporated into CEN Workshop Agreement CWA 16799:2014.

[1]  E. H. Twizell,et al.  Non-linear optimization of the material constants in Ogden's stress-deformation function for incompressinle isotropic elastic materials , 1983, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

[2]  P. W. Bridgman The Compression of Twenty-One Halogen Compounds and Eleven Other Simple Substances to 100,000 kg/cm , 1945 .

[3]  Raveendran Paramesran,et al.  Image analysis by Krawtchouk moments , 2003, IEEE Trans. Image Process..

[4]  Maurice Whelan,et al.  Calibration of a Speckle Interferometry Full‐Field Strain Measurement System , 2008 .

[5]  L. Lin,et al.  A concordance correlation coefficient to evaluate reproducibility. , 1989, Biometrics.

[7]  Eann A. Patterson,et al.  High Frequency Quantitative Photoelasticity Applied to Jet Engine Components , 2006 .

[8]  John E. Mottershead,et al.  Finite element model updating from full-field vibration measurement using digital image correlation , 2011 .

[9]  Sim Heng Ong,et al.  Image Analysis by Tchebichef Moments , 2001, IEEE Trans. Image Process..

[10]  Eann A. Patterson,et al.  A reference material for establishing uncertainties in full-field displacement measurements , 2015 .

[11]  Eann A. Patterson,et al.  An experimental study of the contact of a rounded rigid indenter with a soft material block , 2014 .

[12]  Erwin Hack,et al.  An approach to the validation of computational solid mechanics models for strain analysis , 2013 .

[13]  John E. Mottershead,et al.  Shape features and finite element model updating from full-field strain data , 2011 .

[14]  Leonard E. Schwer,et al.  An overview of the PTC 60/V&V 10: guide for verification and validation in computational solid mechanics , 2007, Engineering with Computers.

[15]  Leonard E. Schwer,et al.  Validation metrics for response histories: perspectives and case studies , 2007, Engineering with Computers.

[16]  Standard Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method 1 , 2011 .

[17]  G. Lampeas,et al.  On the validation of solid mechanics models using optical measurements and data decomposition , 2015, Simul. Model. Pract. Theory.

[18]  George Lampeas,et al.  A hybrid framework for nonlinear dynamic simulations including full-field optical measurements and image decomposition algorithms , 2013 .

[19]  Erwin Hack An inter-laboratory study of the calibration of optical full-field systems for measuring deformation , 2016 .

[20]  T. Trucano,et al.  Verification, Validation, and Predictive Capability in Computational Engineering and Physics , 2004 .

[21]  John E. Mottershead,et al.  Analysis of displacement fields from a high-speed impact using shape descriptors , 2014 .

[22]  O. Yeoh Some Forms of the Strain Energy Function for Rubber , 1993 .

[23]  R. E. Gibson,et al.  The Compressibility of Rubber , 1930 .