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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…

Numerical Analysis · Mathematics 2023-07-19 G. Radenković , A. Borković , B. Marussig

We discuss the use of the Discrete Element Method (DEM) to simulate the dynamics of granular systems made up of elements with nontrivial geometries. The DEM simulator is GPU accelerated and can handle elements whose shape is defined as the…

Computational Engineering, Finance, and Science · Computer Science 2023-07-10 Ruochun Zhang , Colin Vanden Heuvel , Alexander Schepelmann , Arno Rogg , Dimitrios Apostolopoulos , Samuel Chandler , Radu Serban , Dan Negrut

Structural equation models (SEMs) have been widely adopted for inference of causal interactions in complex networks. Recent examples include unveiling topologies of hidden causal networks over which processes such as spreading diseases, or…

Machine Learning · Statistics 2017-04-05 Yanning Shen , Brian Baingana , Georgios B. Giannakis

In this work, we focus on the family of shell formulations referred to as "solid shells", where the simulation of shell-type structures is performed by means of a mesh of 3D solid elements, with typically only one element through the…

Numerical Analysis · Mathematics 2019-10-09 Pablo Antolin , Josef Kiendl , Marco Pingaro , Alessandro Reali

We introduce a novel quadrature strategy for Isogeometric Analysis (IgA) boundary element discretizations, specifically tailored to collocation methods. Thanks to the dimensionality reduction and the natural handling of unbounded domains,…

Numerical Analysis · Mathematics 2025-11-25 Cesare Bracco , Francesco Patrizi , Alessandra Sestini

This work provides an efficient virtual element scheme for the modeling of nonlinear elastodynamics undergoing large deformations. The virtual element method (VEM) has been applied to various engineering problems such as elasto-plasticity,…

Numerical Analysis · Mathematics 2020-02-10 M. Cihan , F. Aldakheel , B. Hudobivnik , P. Wriggers

We propose a novel formulation of the Interacting Boson Model (IBM) for rotational nuclei with axially-symmetric strong deformation. The intrinsic structure represented by the potential energy surface (PES) of a given multi-nucleon system…

Nuclear Theory · Physics 2011-07-19 Kosuke Nomura , Takaharu Otsuka , Noritaka Shimizu , Lu Guo

Introducing a reduced particle stiffness in discrete element method (DEM) allows for bigger time steps and therefore fewer total iterations in a simulation. Although this approach works well for dry non-adhesive particles, it has been shown…

Soft Condensed Matter · Physics 2018-10-17 Sheng Chen , Wenwei Liu , Shuiqing Li

We present a theoretical and computational framework based on fractional calculus for the analysis of the nonlocal static response of cylindrical shell panels. The differ-integral nature of fractional derivatives allows an efficient and…

Computational Engineering, Finance, and Science · Computer Science 2022-06-29 Sai Sidhardh , Sansit Patnaik , Fabio Semperlotti

Partial differential equations can be solved on general polygonal and polyhedral meshes, through Polytopal Element Methods (PEMs). Unfortunately, the relation between geometry and analysis is still unknown and subject to ongoing research in…

Computational Geometry · Computer Science 2022-11-23 Daniela Cabiddu , Giuseppe Patanè , Michela Spagnuolo

Raman spectroscopy stands as a cornerstone technique for probing collective excitations and emergent quantum phases in solids. While polarization-resolved Raman scattering has been widely used to extract symmetry information of eigenmodes,…

Materials Science · Physics 2026-02-24 Di Cheng , Junxiang Li , Shizhuo Luo , Zehao Chen , Xinwei Li

In this paper, we propose a robust low-order stabilization-free virtual element method on quadrilateral meshes for linear elasticity that is based on the stress-hybrid principle. We refer to this approach as the Stress-Hybrid Virtual…

Numerical Analysis · Mathematics 2023-11-28 Alvin Chen , N. Sukumar

We present an open-source Python framework for the shape optimization of complex shell structures using isogeometric analysis (IGA). IGA seamlessly integrates computer-aided design (CAD) and analysis models by employing non-uniform rational…

Optimization and Control · Mathematics 2025-02-06 Han Zhao , John T. Hwang , Jiun-Shyan Chen

In this paper, we present a meshless method belonging to the family of element-free Galerkin (EFG) methods. The distinguishing feature of the presented meshless method is that it allows accurate enforcement of essential boundary conditions.…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 George Bourantas , Benjamin F. Zwick , Grand Joldes , Adam Wittek , Karol Miller

This work presents a Boundary Element Method (BEM) formulation for contactless electromagnetic field assessments. The new scheme is based on a regularized BEM approach that requires the use of electric measurements only. The regularization…

Medical Physics · Physics 2017-03-08 Rajendra Mitharwal , Francesco P. Andriulli

An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features independent displacement, velocity and stress variables and is…

Numerical Analysis · Mathematics 2026-05-11 Philipp L. Kinon , Simon R. Eugster , Peter Betsch

The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial computational costs, especially for complex multiscale…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Weihang Ouyang , Yeonjong Shin , Si-Wei Liu , Lu Lu

The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The…

Numerical Analysis · Mathematics 2021-01-25 Gernot Beer , Christian Duenser , Vincenzo Mallardo

We present a novel isogeometric discretization approach for the Kirchhoff-Love shell formulation based on the Hellinger-Reissner variational principle. For mitigating membrane locking, we discretize the independent strains with spline basis…

Computational Engineering, Finance, and Science · Computer Science 2025-08-05 Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger

We present a new formulation of the Boundary Element Method (BEM) for simulating the non-adhesive and adhesive contact between an indenter of arbitrary shape and an elastic half-space coated with an elastic layer of different material. We…

Soft Condensed Matter · Physics 2018-07-06 Qiang Li , Roman Pohrt , Iakov A. Lyashenko , Valentin L. Popov