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Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

计算工程、金融与科学 · 计算机科学 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

数值分析 · 数学 2018-01-15 Bahareh Momenan , Michel R. Labrosse

This work considers the application of the virtual element method to plane hyperelasticity problems with a novel approach to the selection of stabilization parameters. The method is applied to a range of numerical examples and well known…

数值分析 · 数学 2020-06-24 Daniel van Huyssteen , Batmanathan Dayanand Reddy

This work presents a Finite Element Model Updating inverse methodology for reconstructing heterogeneous material distributions based on an efficient isogeometric shell formulation. It uses nonlinear hyperelastic material models suitable for…

计算工程、金融与科学 · 计算机科学 2022-01-21 Bartosz Borzeszkowski , Izabela Lubowiecka , Roger A. Sauer

Modeling the unusual mechanical properties of metamaterials is a challenging topic for the mechanics community and enriched continuum theories are promising computational tools for such materials. The so-called relaxed micromorphic model…

数值分析 · 数学 2024-05-17 Jörg Schröder , Mohammad Sarhil , Lisa Scheunemann , Patrizio Neff

Computational stress analysis is an important step in the design of material systems. Finite element method (FEM) is a standard approach of performing stress analysis of complex material systems. A way to accelerate stress analysis is to…

材料科学 · 物理学 2023-01-02 Anindya Bhaduri , Ashwini Gupta , Lori Graham-Brady

We investigate volume-element sampling strategies for the stochastic homogenization of particle-reinforced composites and show, via computational experiments, that an improper treatment of particles intersecting the boundary of the…

计算工程、金融与科学 · 计算机科学 2021-03-16 Matti Schneider , Marc Josien , Felix Otto

One of the major issues in the computational mechanics is to take into account the geometrical complexity. To overcome this difficulty and to avoid the expensive mesh generation, geometrically unfitted methods, i.e. the numerical methods…

This paper presents a new adaptive multiscale homogenization scheme for the simulation of damage and fracture in concrete structures. A two-scale homogenization method, coupling meso-scale discrete particle models to macro- scale finite…

计算工程、金融与科学 · 计算机科学 2017-02-03 Roozbeh Rezakhani , Xinwei Zhou , Gianluca Cusatis

We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial differential equations (PDEs). The PDE is first written in…

数值分析 · 数学 2021-05-07 Elena Bachini , Gianmarco Manzini , Mario Putti

A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface…

计算工程、金融与科学 · 计算机科学 2025-04-03 Jacopo Bonari , Maria R. Marulli , Nora Hagmeyer , Matthias Mayr , Alexander Popp , Marco Paggi

A new, and extremely fast, computational modeling paradigm is introduced here for specific finite elasticity problems that arise in the context of soft robotics. Whereas continuum mechanics is a very classical area of study, and significant…

机器人学 · 计算机科学 2022-02-21 Xu Yi , Gregory S. Chirikjian

The paper presents a numerical study for the finite element method with anisotropic meshes. We compare the accuracy of the numerical solutions on quasi-uniform, isotropic, and anisotropic meshes for a test problem which combines several…

数值分析 · 数学 2014-11-20 Weizhang Huang , Lennard Kamenski , Jens Lang

Rheological responses are the most relevant features to describe soft matter. So far, such constitutive relations are still not well understood in terms of small scale properties, although this knowledge would help the design of synthetic…

软凝聚态物质 · 物理学 2020-08-12 J. L. B. de Araujo , J. S. de Sousa , W. P. Ferreira , C. L. N. Oliveira

We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a rigid channel. Through a careful investigation of the…

数值分析 · 数学 2020-07-20 L. Beirão da Veiga , C. Canuto , R. H. Nochetto , G. Vacca

Constitutive models that describe the mechanical behavior of soft tissues have advanced greatly over the past few decades. These expert models are generalizable and require the calibration of a number of parameters to fit experimental data.…

定量方法 · 定量生物学 2021-07-13 Vahidullah Tac , Vivek D. Sree , Manuel K. Rausch , Adrian B. Tepole

Residual stress and plastic strain in additive manufactured materials can exhibit significant microscopic variation at the powder scale, profoundly influencing the overall properties of printed components. This variation depends on…

材料科学 · 物理学 2024-06-19 Yangyiwei Yang , Somnath Bharech , Nick Finger , Xiandong Zhou , Joerg Schroeder , Bai-Xiang Xu

We apply physics-augmented neural network (PANN) constitutive models to experimental uniaxial tensile data of rubber-like materials whose behavior depends on manufacturing parameters. For this, we conduct experimental investigations on a 3D…

计算工程、金融与科学 · 计算机科学 2025-01-07 Dominik K. Klein , Mokarram Hossain , Konstantin Kikinov , Maximilian Kannapinn , Stephan Rudykh , Antonio J. Gil

Machine learning techniques have been applied to enhance turbulence modeling in recent years. However, the "black box" nature of most machine learning techniques poses significant interpretability challenges in improving turbulence models.…

流体动力学 · 物理学 2025-08-22 Boqian Zhang , Juanmian Lei

Thermal fluctuations of microtubules (MTs) and other cytoskeletal filaments govern to a great extent the complex rheological properties of the cytoskeleton in eukaryotic cells. In recent years, much effort has been put into capturing the…

软凝聚态物质 · 物理学 2011-10-26 Sander L. Poelert , Harrie H. Weinans , Amir A. Zadpoor