In this paper, a novel hierarchical micro–macro multiscale modeling enhanced via machine learning is proposed. Machine learning plays an important role in this multiscale framework …
The Cauchy–Born hypothesis has been used to concurrently bridge atomistic information to continuum model. It has been a prevalent assumption in computational nano-mechanics …
G Anciaux, JF Molinari - International journal for numerical …, 2009 - Wiley Online Library
We present a multiscale coupling method to address contact problems. The components of the model are a molecular dynamics engine, a finite element program and a coupling …
S **ao, J Li, SPA Bordas, TY Kim - Advances in Applied Mechanics, 2023 - Elsevier
Current advances in artificial intelligence (AI), especially machine learning and deep learning, provide an alternative approach to problem-solving for engineers and scientists in …
The homogenized constitutive models that have been utilized to simulate the behavior of nanostructures are typically based on the Cauchy–Born hypothesis, which seeks the …
KM Liew, JW Yan, YZ Sun, LH He - Composite structures, 2011 - Elsevier
A temperature-related higher-order gradient continuum theory is proposed for predicting the mechanical properties of single-walled carbon nanotubes (SWCNTs) at various …
S Adams, S Buchholz, R Kotecký, S Müller - arxiv preprint arxiv …, 2019 - arxiv.org
We study gradient field models on an integer lattice with non-convex interactions. These models emerge in distinct branches of physics and mathematics under various names. In …
Mechanical behavior of cells is primarily governed by the cytoskeleton (CSK), a remarkable system of filaments consisting of microtubules, actin filaments and intermediate filaments …