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Data Driven Computing and Machine Learning in Engineering 2019 was held at Shanghai, China on September 09-11, 2019. I gave an oral presentation, A Manifold Learning Approach for Multiscale Phase Field Evolution for Fracture, with three groupmates and my master advisor Prof Yongxing Shen.

Notes about how to get the strong form (the Euler-Lagrange equations) of phase field.

Compute the deflection $D(x,y)$ of a two-dimensional, circular membrane of radius $R$, subject to a load $p$ over the membrane.

It is a “Hello, World!” program in FEniCS that solves following boundary-value problem.

The 15th U.S. National Congress on Computational Mechanics was held in downtown Austin from July 28 - Augest 1, 2019. I gave an oral presentation, A Homogenization-based Phase Field Approach to Fracture. Also I joined the poster competition.

LLE is an unsupervised learning algorithm that computes low-dimensional, neighborhood-preserving embeddings of high-dimensional inputs. Steps select neighbors \[\boldsymbol{X}_m = \sum_{i\in S_m} W_{mi} \boldsymbol{X}_i\] reconstruct with weights \[\mathcal{F} = \sum^N_{m=1} \| \boldsymbol{X}_m-\sum^N_{i=1} W_{mi} \boldsymb...

The 2nd International Conference on Modeling in Mechanics and Materials was held at Suzhou, China on March 29-31, 2019. I gave an oral presentation, A Micromechanics-based Phase Field Approach to Fracture, with a groupmate Wenyu Lai and my advisor Prof Yongxing Shen.