A general-purpose meshfree Kirchhoff–Love shell formulation

IF 8.7 2区 工程技术 Q1 Mathematics
Jiarui Wang, Yuri Bazilevs
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引用次数: 0

Abstract

A thin shell formulation is developed for the approximation by a meshfree Reproducing Kernel Particle Method (RKPM). The formulation is derived from a degenerated shell approach where the structure is treated as a 3D solid subjected to kinematic constraints of the Kirchhoff–Love (KL) shell theory. To address the challenge of surface geometry representation in a meshfree method, a local parameterization using principal component analysis (PCA) is employed. Taylor-series expansion adapted to the shell formulation is developed to address the accuracy and stability issues of nodal quadrature. Several approaches that address membrane locking are also considered. The effectiveness of the proposed RKPM KL shell formulation is demonstrated using an extensive set of linear-elastic and finite-deformation inelastic test cases.

Abstract Image

通用无网格基尔霍夫-洛夫壳公式
通过无网格复制核粒子法(RKPM)开发了一种薄壳近似公式。该公式源自退化壳方法,在退化壳方法中,结构被视为受基尔霍夫-洛夫(KL)壳理论运动学约束的三维实体。为了解决无网格方法中表面几何表示的难题,采用了主成分分析(PCA)的局部参数化方法。为解决节点正交的准确性和稳定性问题,开发了适应壳公式的泰勒级数展开。此外,还考虑了几种解决膜锁定的方法。通过大量线性弹性和有限变形非弹性测试案例,证明了所提出的 RKPM KL 壳体公式的有效性。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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