https://hal.archives-ouvertes.fr/hal-01513346/document

Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

To ensure manufacturability and mesh independence in density-based topology optimization schemes, it is imperative to use restriction methods. This paper introduces a new class of morphology-based restriction schemes that work as density filters; that is, the physical stiffness of an element is based on a function of the design variables of the neighboring elements. The new filters have the advantage that they eliminate grey scale transitions between solid and void regions. Using different test examples, it is shown that the schemes, in general, provide black and white designs with minimum length-scale constraints on either or both minimum hole sizes and minimum structural feature sizes. The new schemes are compared with methods and modified methods found in the literature.

/pdf/morphology-based-black-and-white-filters-for-topology-2ak69rsyp8.pdf

Morphology-based black and white filters for topology optimization

A NURBS (non-uniform rational B-splines)-based isogeometric fluid–structure interaction formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for large structural displacements, is developed. This methodology, encompassing a very general class of applications, is applied to problems of arterial blood flow modeling and simulation. In addition, a set of procedures enabling the construction of analysis-suitable NURBS geometries directly from patient-specific imaging data is outlined. The approach is compared with representative benchmark problems, yielding very good results. Computation of a patient-specific abdominal aorta is also performed, giving qualitative agreement with computations by other researchers using similar models.

Isogeometric Fluid structure Interaction Analysis with Applications to Arterial Blood Flow

Rotation free isogeometric thin shell analysis using PHT-splines

In the past two decades, meshfree methods have emerged into a new class of computational methods with considerable success. In addition, a significant amount of progress has been made in ad...

Js Chen

Papers

Computer Methods in Applied Mechanics and Engineering

A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration

A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration

Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method

An extended meshfree method for boundary value problems