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In this work, a recently developed fracture modeling method called localizinggradient damage method (LGDM) is implemented in MATLAB. MATLAB is well-known inthe computational research community for its simple and easy-to-learn codinginterface. As a result, MATLAB is generally preferred for the initialdevelopment (prototyping) of computational models by researchers. However,MATLAB-developed codes are seldom used for large-scale simulations (afterinitial development is complete) due to their computational inefficiency.Hence, a computationally efficient implementation of LGDM using MATLABvectorization is presented in this work. The choice of LGDM (as the fracturemodeling method) is based on its thermodynamically consistent formulation builtupon the micromorphic framework. Moreover, the non-linear coupled fieldformulation of LGDM makes it suitable for testing the computational efficiencyof vectorized MATLAB implementation in a non-linear finite element setting. Itis shown in this work that the vectorized MATLAB implementation can savesignificant computational resources and time as compared to non-vectorizedimplementations (that are parallelized with MATLAB parfor). The vectorizedMATLAB implementation is tested by solving numerical problems in 1D, 2D and 3Don a consumer-grade PC, demonstrating the capability of vectorizedimplementation to run simulations efficiently on systems with limitedresources. The sample source codes are provided as supplementary materials thatwould be helpful to researchers working on similar coupled field models.

A Computationally Efficient Vectorized Implementation of Localizing Gradient Damage Method in MATLAB