May 7, 2020
Journal Article

Extraction of mechanical properties of materials through deep learning from instrumented indentation

Lu Lu
Ming Dao
Punit Kumar
Upadrasta Ramamurtyc
George Karniadakis
Subra Suresh


Instrumented indentation has been developed and widely utilized as one of the most versatile and practical means of extracting mechanical properties of materials. This method is particularly desirable for those applications where it is difficult to experimentally determine the mechanical properties using stress–strain data obtained from coupon specimens. Such applications include material processing and manufacturing of small and large engineering components and structures involving the following: three dimensional (3D) printing, thin-film and multilayered structures, and integrated manufacturing of materials for coupled mechanical and functional properties. Here, we utilize the latest developments in neural networks, including a multifidelity approach whereby deep-learning algorithms are trained to extract elastoplastic properties of metals an d alloys from instrumented indentation results using multiple datasets for desired levels of improved accuracy. We have established algorithms for solving inverse problems by recourse to single, dual, and multiple indentation and demonstrate that these algorithms significantly outperform traditional brute force computations and function-fitting methods. Moreover, we present several multifidelity approaches specifically for solving the inverse indentation problem which 1) significantly reduce the number of high-fidelity datasets required to achieve a given level of accuracy, 2) utilize known physical and scaling laws to improve training efficiency and accuracy, and 3) integrate simulation and experimental data for training disparate datasets to learn and minimize systematic errors. The predictive capabilities and advantages of these multifidelity methods have been assessed by direct comparisons with experimental results for indentation for different commercial alloys, including two wrought aluminum alloys and several 3D printed titanium alloys.

Revised: May 7, 2020 | Published: March 31, 2020


Lu L., M. Dao, P. Kumar, U. Ramamurtyc, G.E. Karniadakis, and S. Suresh. 2020. "Extraction of mechanical properties of materials through deep learning from instrumented indentation." Proceedings of the National Academy of Sciences (PNAS). 117, no. 13:7052–7062. PNNL-SA-152699. doi:10.1073/pnas.1922210117

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