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We propose a novel 3D shape correspondence method based on the iterative alignment of so-called smooth shells. Smooth shells define a series of coarse-to-fine shape approximations designed to work well with multiscale algorithms. The main…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Marvin Eisenberger , Zorah Lähner , Daniel Cremers

The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the…

Numerical Analysis · Mathematics 2020-10-28 Gernot Beer , Eugenio Ruocco , Christian Duenser , Vincenzo Mallardo

In many applications, thin shell-like structures are integrated within or attached to volumetric bodies. This includes reinforcements placed in soft matrix material in lightweight structure design, or hollow structures that are partially or…

Numerical Analysis · Mathematics 2025-01-10 Astrid Pechstein , Michael Neunteufel

Efficient solution of 3D elasticity problems is an important part of many industrial and scientific applications. Smoothed aggregation algebraic multigrid using rigid body modes for the tentative prolongation operator construction is an…

Mathematical Software · Computer Science 2022-02-21 Denis Demidov

This short communication discusses two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary information. Moreover, they do not require an explicit form…

Numerical Analysis · Mathematics 2013-10-17 Sundararajan Natarajan , Ean Tat Ooi , Hou Man , Chongmin Song

In this paper, we introduce a method to rapidly create 3D geometries by folding 2D sheets via pull-up nets. Given a 3D structure, we unfold its mesh into a planar 2D sheet using heuristic algorithms and populate these with cutlines and…

Human-Computer Interaction · Computer Science 2022-12-21 Lauren Niu , Xinyi Yang , Martin Nisser , Stefanie Mueller

This paper presents a general non-linear computational formulation for rotation-free thin shells based on isogeometric finite elements. It is a displacement-based formulation that admits general material models. The formulation allows for a…

Computational Engineering, Finance, and Science · Computer Science 2025-01-10 Thang Xuan Duong , Farshad Roohbakhshan , Roger Andrew Sauer

Typical computational techniques for vascular biomechanics represent the blood vessel wall via either a membrane, a shell, or a 3D solid element. Each of these formulations has its trade offs concerning accuracy, ease of implementation, and…

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

Elastic filaments are vital to biological, physical and engineering systems, from cilia driving fluid in the lungs to artificial swimmers and micro-robotics. Simulating slender structures requires intricate balance of elastic, body, active,…

Biological Physics · Physics 2023-06-02 Paul Fuchter , Hermes Bloomfield-Gadêlha

We present a new particle-based (discrete element) numerical method for the simulation of granular dynamics, with application to motions of particles on small solar system body and planetary surfaces. The method employs the parallel N-body…

Earth and Planetary Astrophysics · Physics 2013-06-12 Derek C. Richardson , Kevin J. Walsh , Naomi Murdoch , Patrick Michel

This work focuses on an efficient stress recovery procedure for laminated composite curved structures, which relies on Isogeometric Analysis (IGA) and equilibrium. Using a single element through the thickness in combination with a…

Numerical Analysis · Mathematics 2020-10-27 Alessia Patton , Pablo Antolin , Josef Kiendl , Alessandro Reali

Lightweight, single-use explosion containment structures provide an effective solution for neutralizing rogue explosives, combining affordability with ease of transport. This paper introduces a three-stage simulation framework that captures…

Fluid Dynamics · Physics 2026-05-21 Aditya Narkhede , Shafquat Islam , Xingsheng Sun , Kevin Wang

From understanding the sand on the beach to the foam on your beer, soft sphere simulations have been crucial to the study of the amorphous world around us. However, many of the materials we interact with on a daily basis aren't comprised of…

Soft Condensed Matter · Physics 2024-03-18 R. C. Dennis

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…

Computational Engineering, Finance, and Science · Computer Science 2023-06-06 Thang Xuan Duong , Mikhail Itskov , Roger Andrew Sauer

We present a sampling-based approach to reasoning about the caging-based manipulation of rigid and a simplified class of deformable 3D objects subject to energy constraints. Towards this end, we propose the notion of soft fixtures extending…

Robotics · Computer Science 2023-09-06 Yifei Dong , Florian T. Pokorny

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…

Computational Engineering, Finance, and Science · Computer Science 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

The virtual element method (VEM) allows discretization of the problem domain with polygons in 2D. The polygons can have an arbitrary number of sides and can be concave or convex. These features, among others, are attractive for meshing…

Numerical Analysis · Mathematics 2023-10-06 L. L. Yaw

When a hole is introduced into an elastic material, it will usually act to reduce the overall mechanical stiffness. A general ambition is to investigate whether a stiff shell around the hole can act to maintain the overall mechanical…

Classical Physics · Physics 2026-03-20 Kanka Ghosh , Andreas M. Menzel