[HTML][HTML] Mechanical metamaterials with topologies based on curved elements: An overview of design, additive manufacturing and mechanical properties
The design of metamaterials involves the optimal distribution of material inside a volume;
therefore, it has benefited from the development of Additive Manufacturing (AM) techniques …
therefore, it has benefited from the development of Additive Manufacturing (AM) techniques …
Isogeometric sizing and shape optimization of 3D beams and lattice structures at large deformations
O Weeger - Structural and Multidisciplinary Optimization, 2022 - Springer
A computational method for optimizing the shape of the centerline curve and the spatial
variation of geometric and material sizing parameters of the cross-sections of elastic, 3 …
variation of geometric and material sizing parameters of the cross-sections of elastic, 3 …
[HTML][HTML] Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli–Euler beam
A Borković, B Marussig, G Radenković - Computer Methods in Applied …, 2022 - Elsevier
The objective of this research is the development of a geometrically exact model for the
analysis of arbitrarily curved spatial Bernoulli–Euler beams. The complete metric of the …
analysis of arbitrarily curved spatial Bernoulli–Euler beams. The complete metric of the …
An improved isogeometric collocation formulation for spatial multi-patch shear-deformable beams with arbitrary initial curvature
D Ignesti, G Ferri, F Auricchio, A Reali… - Computer Methods in …, 2023 - Elsevier
The present paper presents a robust multi-patch formulation based on the isogeometric
collocation (IGA-C) method for the solution of linear, spatial Timoshenko beam structures …
collocation (IGA-C) method for the solution of linear, spatial Timoshenko beam structures …
A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors
The effect of higher order continuity in the solution field by using NURBS basis function in
isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation …
isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation …
[HTML][HTML] Geometrically exact isogeometric Bernoulli–Euler beam based on the Frenet–Serret frame
A novel geometrically exact model of the spatially curved Bernoulli–Euler beam is
developed. The formulation utilizes the Frenet–Serret frame as the reference for updating …
developed. The formulation utilizes the Frenet–Serret frame as the reference for updating …
Geometrically exact thin-walled beam including warping formulated on the special Euclidean group SE (3)
J Rong, Z Wu, C Liu, O Brüls - Computer Methods in Applied Mechanics …, 2020 - Elsevier
Based on a formulation on the special Euclidean group SE (3), a geometrically exact thin-
walled beam with an arbitrary open cross-section is proposed to deal with the finite …
walled beam with an arbitrary open cross-section is proposed to deal with the finite …
两类基于局部标架梁单元的闭锁缓解方法
汤惠颖， 张志娟， 刘铖， 刘绍奎 - 力学学报, 2021 - lxxb.cstam.org.cn
对于大转动, 大变形柔性体的刚柔耦合动力学问题, 基于李群SE (3) 局部标架(local frame
formulation, LFF) 的建模方法能够规避刚体运动带来的几何非线性问题, 离散数值模型中广义 …
formulation, LFF) 的建模方法能够规避刚体运动带来的几何非线性问题, 离散数值模型中广义 …
An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors
An isogeometric finite element formulation for geometrically and materially nonlinear
Timoshenko beams is presented, which incorporates in-plane deformation of the cross …
Timoshenko beams is presented, which incorporates in-plane deformation of the cross …
Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler–Bernoulli beam structures
This study presents a novel isogeometric Euler–Bernoulli beam formulation for geometrically
nonlinear analysis of multi-patch beam structures. The proposed formulation is derived from …
nonlinear analysis of multi-patch beam structures. The proposed formulation is derived from …