Solver‐free classical computational homogenization for nonlinear periodic heterogeneous media

Efficient multiscale modeling of heterogeneous materials using deep neural networks

(2023) Fadi Aldakheel et al.   COMPUTATIONAL MECHANICS

A wavelet-enhanced adaptive hierarchical FFT-based approach for the efficient solution of microscale boundary value problems

(2023) Tobias Kaiser et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Reduced order mathematical homogenization method for polycrystalline microstructure with microstructurally small cracks

(2023) Damin Xia et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An adaptive wavelet method for nonlinear partial differential equations with applications to dynamic damage modeling

(2023) Cale Harnish et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problems

(2022) Minglang Yin et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Data ‐physics driven reduced order homogenization

(2022) Jacob Fish et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Self-consistent homogenization-based parametrically upscaled continuum damage mechanics model for composites subjected to high strain-rate loading

(2022) Chandra Prakash et al.   JOURNAL OF COMPOSITE MATERIALS

Mesoscopic and multiscale modelling in materials

(2021) Jacob Fish et al.   NATURE MATERIALS

Fiber Optic Sensors Embedded in Textile-Reinforced Concrete for Smart Structural Health Monitoring: A Review

(2021) Lourdes S. M. Alwis et al.   SENSORS

Recent advances of polymer-based piezoelectric composites for biomedical applications

(2021) Fatemeh Mokhtari et al.   Journal of the Mechanical Behavior of Biomedical Materials

Fast parallel multidimensional FFT using advanced MPI

(2019) Lisandro Dalcin et al.   JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING

Deep multiscale model learning

(2019) Yating Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Multiscale modeling and optimization of the mechanics of hierarchical metamaterials

(2019) Dennis M. Kochmann et al.   MRS BULLETIN

Computational certification under limited experiments

(2018) Jacob Fish et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Review on thermal conductivity enhancement, thermal properties and applications of phase change materials in thermal energy storage

(2018) Yaxue Lin et al.   RENEWABLE & SUSTAINABLE ENERGY REVIEWS

A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials

(2017) Karel Matouš et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum

(2016) A. Sridhar et al.   COMPUTATIONAL MECHANICS

Assessment of Altair Multiscale Designer for damage tolerant design principles (DTDP) of advanced composite aircraft structures

(2016) Zheng Yuan et al.   JOURNAL OF COMPOSITE MATERIALS

A nonlinear manifold-based reduced order model for multiscale analysis of heterogeneous hyperelastic materials

(2016) Satyaki Bhattacharjee et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Computational homogenization of nonlinear elastic materials using neural networks

(2015) B. A. Le et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Hybrid impotent-incompatible eigenstrain based homogenization

(2013) Jacob Fish et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Experimental and computational investigation of progressive damage accumulation in CFRP composites

(2012) Robert D. Crouch et al.   COMPOSITES PART B-ENGINEERING

Archetype-blending continuum theory

(2012) Khalil I. Elkhodary et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Homogenization of elastic–plastic periodic materials by FVDAM and FEM approaches – An assessment

(2011) Marcio A.A. Cavalcante et al.   COMPOSITES PART B-ENGINEERING

A nonintrusive stochastic multiscale solver

(2011) Jacob Fish et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Nonuniform transformation field analysis of materials with morphological anisotropy

(2010) F. Fritzen et al.   COMPOSITES SCIENCE AND TECHNOLOGY

Multiple scale eigendeformation-based reduced order homogenization

(2009) Zheng Yuan et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

On the Cauchy—Born Rule

(2008) J.L. Ericksen   MATHEMATICS AND MECHANICS OF SOLIDS

Generalized Mathematical Homogenization: From theory to practice

(2007) Aiqin Li et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING