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Assessment of an isogeometric approach with Catmull–Clark subdivision surfaces using the Laplace–Beltrami problems
An isogeometric approach for solving the Laplace–Beltrami equation on a two-dimensional manifold embedded in three-dimensional space using a Galerkin...
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Computational instability analysis of inflated hyperelastic thin shells using subdivision surfaces
The inflation of hyperelastic thin shells is a highly nonlinear problem that arises in multiple important engineering applications. It is...
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Subdivision-based isogeometric analysis for second order partial differential equations on surfaces
We investigate the isogeometric analysis approach based on the extended Catmull–Clark subdivision for solving the PDEs on surfaces. As a compatible...
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Complex modelling automation for 3D polyhedral structures built with additive formwork manufacturing
Polyhedral structures are a fascinating and efficient case of structural virtuosity. However, their adoption to date has been limited because of...
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Spatial Curved Laminated Timber Structures
The paper describes the physical realisation of a demonstration prototype produced by mouldless wood bending of discrete laminated timber elements...
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An improved algorithm based on \(\sqrt {3}\) subdivision for micro surface modeling
Micro surface modeling has been widely applied in micro scale systems, and the advanced modeling of micro surface is crucial to the development of...
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Algorithmic Differentiation for Interactive CAD-Integrated Isogeometric Analysis
Algorithmic differentiation is used to analyse the interaction between input and output parameters of arbitrary computational models. We discuss the...
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A CAD-aware plug-and-play topology optimization framework using moments
This paper presents a CAD-aware plug-and-play framework for topology optimization that results in CAD compatible-optimized geometries. The framework...
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Introduction
This chapter introduces the notion of 3D images, which are now well known to the public through the animated films of Pixar, and also 3D vision, for...
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Motivation: The Cavity Problem
This chapter gives a brief overview of the historircal context and the state-of-the-art relevant for the development of isogeometric boundary element...
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Design of variable thickness triply periodic surfaces for additive manufacturing
Minimal surfaces are receiving a renewed interest in biomedical and industrial fields, due to the capabilities of additive manufacturing technologies...
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Introduction
The aim of this introductory chapter is to provide an overview of what is the material point method—the topic of the book—and its application...
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Adaptive level set topology optimization using hierarchical B-splines
This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work...
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Prospects for using T-splines for the development of the STEP-NC-based manufacturing of freeform surfaces
For successful development of the intelligent manufacturing of freeform surfaces using STEP-CNC with online toolpath generation capability, it is...
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3D Model Representation and Data Exchange for Additive Manufacturing
The unique capabilities of additive manufacturing (AM) technologies highlight limits in commercial CAD tools. In this manuscript, after a synthetic...
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An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering
Combining the strengths of Lagrangian and Eulerian descriptions, the coupled Lagrangian–Eulerian methods play an increasingly important role in...
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Isogeometric topology optimization based on energy penalization for symmetric structure
We present an energy penalization method for isogeometric topology optimization using moving morphable components (ITO-MMC), propose an ITO-MMC with...
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Meshfree truncated hierarchical refinement for isogeometric analysis
In this paper truncated hierarchical B-spline (THB-spline) is coupled with reproducing kernel particle method (RKPM) to blend advantages of the...
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Mathematical Foundations of Adaptive Isogeometric Analysis
This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the...
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Optimization of lattice structures for Additive Manufacturing Technologies
Additive manufacturing technologies enable the fabrication of parts characterized by shape complexity and therefore allow the design of optimized...