Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 13 December 2019Accepted: 02 October 2020Published online: 25 January 2021KeywordsBoolean operations, union, trimming, overlapping meshes, stabilized methods, isogeometric methodsAMS Subject Headings65N12, 65N15, 65N20, 65N30, 65N85Publication DataISSN (print): 1064-8275I...

We present a novel approach that combines the power of pix2pix, an image-to-image translation framework, with advanced capabilities isogeometric multi-patch analysis for topology optimization. The proposed method adds Nitsche’s methods into advantages Isogeometric (IGA), thus gaining ability to handle complex geometries by generating locally smooth and well-converged results. Additionally, usag...

In this paper we present computational cost estimates for parallel shared memory isogeometric multi-frontal solver. The estimates show that the ideal isogeometric shared memory parallel direct solver scales as O(p log(N/p)) for one dimensional problems, O(Np) for two dimensional problems, and O(Np) for three dimensional problems, where N is the number of degrees of freedom, and p is the polynom...

This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and higher-order shear deformation theory (HSDT) is proposed to study the free vibration of cracked functionally graded material (FGM) plates. Herein, the general HSDT model with five unknown variables per node is applied for calculating the stiffness matrix without needing shear correction factor (SCF). I...