An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis

03/07/2019
by   H Nguyen-Xuan, et al.
0

We propose a simple and efficient scheme based on adaptive finite elements over conforming quadtree meshes for collapse plastic analysis of structures. Our main interest in kinematic limit analysis is concerned with both purely cohesive-frictional and cohesive materials. It is shown that the most computational efficiency for collapse plastic problems is to employ an adaptive mesh strategy on quadtree meshes. However, a major difficulty in finite element formulations is the appearance of hanging nodes during adaptive process. This can be resolved by a definition of conforming quadtree meshes in the context of polygonal elements. Piecewise-linear shape functions enhanced with generalized bubble functions in barycentric coordinates are used to approximate the velocity field. Numerical results prove the reliability and benefit of the present approach.

READ FULL TEXT

page 5

page 6

page 7

page 13

page 18

page 22

page 29

page 39

research
05/31/2020

Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition

We investigate the piecewise linear nonconforming Crouzeix-Raviar and th...
research
03/09/2019

An extended polygonal finite element method for large deformation fracture analysis

The modeling of large deformation fracture mechanics has been a challeng...
research
03/09/2021

The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra

Let Ω be a Lipschitz polyhedral (can be nonconvex) domain in ℝ^3, and V_...
research
01/17/2020

A Coarsening Algorithm on Adaptive Red-Green-Blue Refined Meshes

Adaptive meshing is a fundamental component of adaptive finite element m...
research
07/19/2023

Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis

In this study we consider domains that are composed of an infinite seque...
research
03/07/2021

Simulating linear kinematic features in viscous-plastic sea ice models on quadrilateral and triangular grids

Linear Kinematic Features (LKFs) are found everywhere in the Arctic sea ...

Please sign up or login with your details

Forgot password? Click here to reset