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

K Matouš, MGD Geers, VG Kouznetsova… - Journal of Computational …, 2017 - Elsevier
Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …

A review of the FE2 method for composites

K Raju, TE Tay, VBC Tan - Multiscale and Multidisciplinary Modeling …, 2021 - Springer
Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …

Homogenization methods and multiscale modeling: nonlinear problems

MGD Geers, VG Kouznetsova… - Encyclopedia of …, 2017 - Wiley Online Library
This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …

Influence of bone microstructure distribution on developed mechanical energy for bone remodeling using a statistical reconstruction method

A Sheidaei, M Kazempour… - … and Mechanics of …, 2019 - journals.sagepub.com
The development of a predictive model for bone remodeling is becoming increasingly
important for medical applications such as bone surgery or bone substitutes like prostheses …

Fem-based compression fracture risk assessment in osteoporotic lumbar vertebra l1

A Maknickas, V Alekna, O Ardatov, O Chabarova… - Applied Sciences, 2019 - mdpi.com
This paper presents a finite element method (FEM)-based fracture risk assessment in patient-
specific osteoporotic lumbar vertebra L1. The influence of osteoporosis is defined by …

Advanced geometry representations and tools for microstructural and multiscale modeling

B Sonon, KEM Kamel, TJ Massart - Advances in applied mechanics, 2021 - Elsevier
The macroscopic behavior of complex heterogeneous materials is governed by the
interactions between their constituents at the microstructural scale. This has fostered a large …

Numerical homogenization of fiber reinforced layer in large elastic deformation using a decoupled iterative method

S Karoui, K Mansouri, Y Renard, M Arfaoui… - Composite …, 2023 - Elsevier
We propose a procedure to approximate the large elastic deformations of a fiber reinforced
layer by a two-scale decoupled homogenization numerical procedure. The nonlinear micro …

A computational two-scale approach to cancellous bone remodelling

P Steinmann, I Schmidt, P Pivonka… - Advanced Modeling and …, 2024 - Springer
We propose a novel two-scale (meso-macro-scale) approach to computationally capture
cancellous bone remodelling allowing for efficient and effective numerical implementation …

Investigation of the Role of Osteoporotic Vertebra Degeneration on the Stability of the Lumbar Spine: In Silico Modelling under Compressive Loading

O Chabarova, J Selivonec, A Menendez Hurtado - Bioengineering, 2024 - mdpi.com
An evaluation of the impact of osteoporosis on loss of spinal stability, with or without
intervertebral disc degeneration, using computational analysis is presented. The research …

Statistical prediction of bone microstructure degradation to study patient dependency in osteoporosis

S Famouri, M Baghani, A Sheidaei… - … and Mechanics of …, 2022 - journals.sagepub.com
Numerical prediction of osteoporosis evolution is a challenging objective in medicine,
particularly when one desires to account for patient dependency. The use of statistical …