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This paper presents a general, nonlinear isogeometric finite element formulation for rotation-free shells with embedded fibers that captures anisotropy in stretching, shearing, twisting and bending -- both in-plane and out-of-plane. These…

计算工程、金融与科学 · 计算机科学 2023-06-06 Thang Xuan Duong , Mikhail Itskov , Roger Andrew Sauer

This work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a curvilinear coordinate system, which allows the…

计算工程、金融与科学 · 计算机科学 2022-08-24 Karsten Paul , Roger A. Sauer

This paper studies elasto-plastic large deformation behavior of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulations. In…

数值分析 · 数学 2023-07-12 Giang Huynh , Xiaoying Zhuang , Hoang-Giang Bui , G. Meschke , Hung Nguyen-Xuan

A new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four prominently used bending models. Through an essential set of elementary nonlinear bending test cases, the stresses…

计算工程、金融与科学 · 计算机科学 2023-04-20 Eshwar J. Savitha , Roger A. Sauer

This work presents a generalized Kirchhoff-Love shell theory that can explicitly capture fiber-induced anisotropy not only in stretching and out-of-plane bending, but also in in-plane bending. This setup is particularly suitable for…

材料科学 · 物理学 2023-06-06 Thang Xuan Duong , Vu Ngoc Khiêm , Mikhail Itskov , Roger Andrew Sauer

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

This paper presents three different constitutive approaches to model thin rotation-free shells based on the Kirchhoff-Love hypothesis. One approach is based on numerical integration through the shell thickness while the other two approaches…

计算工程、金融与科学 · 计算机科学 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction…

数值分析 · 数学 2015-10-30 Gautam Munglani , Roman Vetter , Falk K. Wittel , Hans J. Herrmann

The influence on macroscopic work hardening of small, spherical, elastic particles dispersed within a matrix is studied using an isotropic strain gradient plasticity framework. An analytical solution, based on a recently developed yield…

材料科学 · 物理学 2021-10-25 Philip Croné , Peter Gudmundson , Jonas Faleskog

We propose a three dimensional mechanical model of embryonic tissue dynamics. Mechanically coupled adherent cells are represented as particles interconnected with elastic beams which can exert non-central forces and torques. Tissue…

生物物理 · 物理学 2015-06-22 Andras Czirok , Dona Greta Isai

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

计算工程、金融与科学 · 计算机科学 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

The wide adoption of thermoplastic composites to reduce weight in structural parts requires reliable numerical methods to account for debonding between overmolded parts. Although cohesive elements are effective for debonding, the need for…

计算工程、金融与科学 · 计算机科学 2026-03-31 Sérgio G. F. Cordeiro , Boyang Chen , Frans P. van der Meer

We rigorously derive a Kirchhoff plate theory, via $\Gamma$-convergence, from a three-di\-men\-sio\-nal model that describes the finite elasticity of an elastically heterogeneous, thin sheet. The heterogeneity in the elastic properties of…

偏微分方程分析 · 数学 2018-07-17 Virginia Agostiniani , Alessandro Lucantonio , Danka Lučić

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

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

数值分析 · 数学 2015-05-13 A. V. Shutov , R. Kreissig

Numerical simulations of thin sheets undergoing large deformations are computationally challenging. Depending on the scenario, they may spontaneously buckle, wrinkle, fold, or crumple. Nature's thin tissues often experience significant…

软凝聚态物质 · 物理学 2015-08-03 Roman Vetter , Norbert Stoop , Falk K. Wittel , Hans J. Herrmann

The geometrically rigorous nonlinear analysis of elastic shells is considered in the context of finite, but small, strain theory. The research is focused on the introduction of the full shell metric and examination of its influence on the…

数值分析 · 数学 2023-07-19 G. Radenković , A. Borković , B. Marussig

A recent paper (Healey et al., J. Nonlin. Sci., 2013, 23:777-805.) predicted the disappearance of the stretch-induced wrinkled pattern of thin, clamped, elastic sheets by numerical simulation of the F\"oppl-von K\'arm\'an equations extended…

软凝聚态物质 · 物理学 2018-06-05 Andras A. Sipos , Eszter Feher

We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in $\mathbb{R}^d$, $d \in \{2,3\}$. The sequence of finite element approximations is shown to exhibit strong convergence to the unique…

数值分析 · 数学 2020-04-02 Andrea Bonito , Vivette Girault , Endre Süli

Cutting-edge smart materials are transforming the domains of soft robotics, actuators, and sensors by harnessing diverse non-mechanical stimuli, such as electric and magnetic fields. Accurately modelling their physical behaviour…

经典物理 · 物理学 2024-07-09 Abhishek Ghosh , Andrew McBride , Zhaowei Liu , Luca Heltai , Paul Steinmann , Prashant Saxena
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