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The authors have shown in previous contributions that reduced order modeling with optimal cubature applied to finite element square (FE2) techniques results in a reliable and affordable multiscale approach, the HPR-FE2 technique. Such…

数值分析 · 数学 2021-07-20 Marcelo Raschi , Oriol Lloberas-Valls , Alfredo Huespe , Javier Oliver

A class of peridynamic material models known as constitutive correspondence models provide a bridge between classical continuum mechanics and peridynamics. These models are useful because they allow well-established local constitutive…

数值分析 · 计算机科学 2019-08-29 Masoud Behzadinasab , John T. Foster

Metal rolling is a widespread and well-studied process, and many finite-element (FE) rolling simulations can be found in the scientific literature. However, these FE simulations are typically limited in their resolution of through-thickness…

Computational formulations for large strain, polyconvex, nearly incompressible elasticity have been extensively studied, but research on enhancing solution schemes that offer better tradeoffs between accuracy, robustness, and computational…

应用物理 · 物理学 2019-10-22 Elias Karabelas , Gundolf Haase , Gernot Plank , Christoph M. Augustin

A finite strain nonlinear constitutive model is presented to study the extreme mechanical behavior of a polyurethane-urea well suited for many engineering applications. The micromechanically- and thermodynamically based constitutive model…

软凝聚态物质 · 物理学 2024-09-10 Jaehee Lee , David Veysset , Alex J. Hsieh , Gregory C. Rutledge , Hansohl Cho

A simple and popular constitutive model used to describe the compressional strength of a consolidating strongly cohesive particulate gel is tested further with new experimental data. Strong cohesive particulate gels have variously been…

软凝聚态物质 · 物理学 2015-06-09 A. A. Aziz , R. Buscall , R. de Kretzer , M. Kristjansson , P. J. Scales , A. D. Stickland , H-E Teo , S. P. Usher , K. Keiding

Shape Memory Alloys (SMAs) has been widely aware of working as actuators for active/smart morphing structures in the engineering industry. Because of the high actuation energy density of SMAs, compared to other active materials, structures…

材料科学 · 物理学 2020-01-16 Lei Xu , Theocharis Baxevanis , Dimitris Lagoudas

Powder metallurgy hot isostatic pressing (PM-HIP) is an advanced manufacturing process that produces near net shape parts with high material utilization and uniform microstructures. Despite being used frequently to produce small-scale…

数值分析 · 数学 2025-08-14 Subrato Sarkar , Jason R Mayeur , KPK Ajjarapu , Fred A List , Soumya Nag , Ryan R Dehoff

A finite element framework is presented for the analysis of crack-tip phenomena in an elastic material containing a single edge crack under compressive loading. The mechanical response of the material is modeled by a nonlinear constitutive…

数值分析 · 数学 2025-08-12 Dambaru Bhatta , Saugata Ghosh , S. M. Mallikarjunaiah

An efficient and reliable stress computation algorithm is presented, which is based on implicit integration of the local evolution equations of multiplicative finite-strain plasticity/viscoplasticity. The algorithm is illustrated by an…

数值分析 · 数学 2016-05-25 A. V. Shutov

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

计算工程、金融与科学 · 计算机科学 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

We derive from particle-level dynamics a constitutive model describing the rheology of two-dimensional dense soft suspensions below the jamming transition, in a regime where hydrodynamic interactions between particles are screened. Based on…

软凝聚态物质 · 物理学 2026-01-08 N. Cuny , E. Bertin , R. Mari

We develop a hyperelastic constitutive model for graphene --- describing in-plane deformations involving both large isotropic and deviatoric strains --- based on the invariant-theoretic approach to representation of anisotropic functions.…

材料科学 · 物理学 2014-07-09 Sandeep Kumar , David M. Parks

A dual-continuum model can offer a practical approach to understanding first-order behaviours of poromechanically coupled multiscale systems. To close the governing equations, constitutive equations with models to calculate effective…

地球物理 · 物理学 2019-10-28 Mark Ashworth , Florian Doster

In this work, semi-discrete and fully-discrete error estimates are derived for the Biot's consolidation model described using a three-field finite element formulation. The fields include displacements, total stress and pressure. The model…

数值分析 · 数学 2020-08-05 Wenya Qi , Padmanabhan Seshaiyer , Junping Wang

The favored phase field method (PFM) has encountered challenges in the finite strain fracture modeling of nearly or truly incompressible hyperelastic materials. We identified that the underlying cause lies in the innate contradiction…

数值分析 · 数学 2022-05-04 Fucheng Tian , Jun Zeng , Mengnan Zhang , Liangbin Li

The development of accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both in considering the appropriate model assumptions…

机器学习 · 计算机科学 2023-02-22 Jan N. Fuhg , Craig M. Hamel , Kyle Johnson , Reese Jones , Nikolaos Bouklas

We present a finite-strain model that is capable of describing the large deformations in bent nanowire heterostructures. The model incorporates a nonlinear strain formulation derived from the first Piola-Kirchhoff stress tensor, coupled…

介观与纳米尺度物理 · 物理学 2025-01-17 Yiannis Hadjimichael , Oliver Brandt , Christian Merdon , Costanza Manganelli , Patricio Farrell

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

数值分析 · 数学 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

An elastic-visco-plastic thermomechanical model for the simulation of cold forming and subsequent sintering of ceramic powders is introduced and based on micromechanical modelling of the compaction process of granulates. Micromechanics…

计算工程、金融与科学 · 计算机科学 2019-07-19 D. Kempen , A. Piccolroaz , D. Bigoni