Results 101 to 110 of about 25,253,049 (241)

Higher‐Order, Mixed‐Hybrid Finite Elements for Kirchhoff–Love Shells

International Journal for Numerical Methods in Engineering, Volume 126, Issue 21, 15 November 2025.
ABSTRACT A novel mixed‐hybrid method for Kirchhoff–Love shells is proposed that enables the use of classical, possibly higher‐order Lagrange elements in numerical analyses. In contrast to purely displacement‐based formulations that require higher continuity of shape functions as in isogeometric analysis (IGA), the mixed formulation features ...
Jonas Neumeyer, Michael Wolfgang Kaiser, Thomas‐Peter Fries   +2 more
wiley   +1 more source

Variable Density Interpolation for Dynamic Topology Optimization

International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.
ABSTRACT Topology optimization problems are usually nonconvex, and different optimization paths often lead to different local optima. This phenomenon is particularly pronounced in dynamic situations, where it typically causes grayscale. The occurrence of grayscale is greatly dependent on material parameters such as stiffness and density. In particular,
Xinlin Xu, Takumi Sugiura, Hiroya Hoshiba, Koji Nishiguchi, Junji Kato   +4 more
wiley   +1 more source

A Comprehensive Review of Isogeometric Topology Optimization: Methods, Applications and Prospects

Chinese Journal of Mechanical Engineering, 2020
Topology Optimization (TO) is a powerful numerical technique to determine the optimal material layout in a design domain, which has accepted considerable developments in recent years.
Jie Gao, Mi Xiao, Yan Zhang, Liang Gao
doaj   +1 more source

Formulation of an isogeometric shell element for crash simulation [PDF]

, 2013
In this paper, we propose, for the isogeometric analysis, a shell model based on a degenerated three dimensional approach. It uses a first order kinematic description in the thickness with transverse shear (Reissner-Mindlin theory).
Adam, Cédric, Bouabdallah, Salim, Maitournam, Habibou, Zarrouk, Malek   +3 more
core  

An F‐Bar B‐Spline Material Point Method for Capturing Size‐Dependent Strain Localization With Finite Strain Gradient Plasticity

International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.
ABSTRACT The classical material point method (MPM) is particularly suitable for large deformation problems with surface contact, but its capability to capture size effects remains relatively limited. In order to capture the size effect widely observed in solid materials as well as to eliminate mesh dependency, we present an F‐bar B‐spline MPM for ...
Ran Ma, Haoyu Ni, Panpan Cheng, Guodong Zhang, Tong Guo   +4 more
wiley   +1 more source

Least‐Squares Projected Models for Non‐Intrusive Affinization of Reduced Basis Methods

International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.
ABSTRACT Reduced‐basis methods (RBMs) constitute a promising technique for delivering numerical solutions of parameterized PDEs in real time and with reasonable accuracy. The most significant drawback of RBMs is the requirement of parametric affinity, a condition that only very trivial problems satisfy.
E. Fonn, H. v. Brummelen, J. L. Eftang, T. Rusten, K. A. Johannessen, T. Kvamsdal, A. Rasheed   +6 more
wiley   +1 more source

Isogeometric modeling and analysis of piezoelectric laminated shells

Jixie qiangdu
ObjectiveThe traditional finite element method suffers from geometric inaccuracy and low element order during modeling, which introduces approximation errors when dealing with complex geometric models with curves or curved surfaces.
LIU Tao, XU Wenxiang, JIANG Yafen, HU Xiaolei, ZHANG Shunqi   +4 more
doaj  

Transfinite Patches for Isogeometric Analysis

Mathematics
This paper extends the well-known transfinite interpolation formula, which was developed in the late 1960s by the applied mathematician William Gordon at the premises of General Motors as an extension of the pre-existing Coons interpolation formula. Here,
Christopher Provatidis
doaj   +1 more source

ISOGEOMETRIC STRUCTURAL ANALYSIS BASED ON NURBS SHAPE FUNCTIONS

Facta Universitatis. Series: Mechanical Engineering, 2014
Finite element method (FEM) is a tool that is mostly used for the structural analysis. The method is based upon approximation of the actual geometry and displacement field of the structure over the finite element domain.
Predrag Milić, Dragan Marinković
doaj  

Systematic design of tetra-petals auxetic structures with stiffness constraint

Materials & Design, 2019
This paper focuses on a systematic isogeometric design approach for the optimal petal form and size characterization of tetra-petals auxetics, considering both plane stress and plane strain conditions.
Zhen-Pei Wang, Leong Hien Poh, Yilin Zhu, Justin Dirrenberger, Samuel Forest   +4 more
doaj   +1 more source