Now showing items 1-7 of 7

• #### A combined XFEM phase-field computational model for crack growth without remeshing ﻿

(Springer, 2020-10-07)
Article
Restricted access - publisher's policy
This paper presents an adaptive strategy for phase-field simulations with transition to fracture. The phase-field equations are solved only in small subdomains around crack tips to determine propagation, while an XFEM ...
• #### A hybridizable discontinuous Galerkin phase-field model for brittle fracture ﻿

(2019-05-01)
Article
Open Access
Phase-field models for brittle fracture consider smeared representations of cracks, which are described by a continuous field that varies abruptly in the transition zone between unbroken and broken states. Computationally, ...
• #### A hybridizable discontinuous Galerkin phase-field model for brittle fracture with adaptive refinement ﻿

(John Wiley & sons, 2020-03-30)
Article
Restricted access - publisher's policy
In this paper, we propose an adaptive refinement strategy for phase-field models of brittle fracture, which is based on a novel hybridizable discontinuous Galerkin (HDG) formulation of the problem. The adaptive procedure ...
• #### Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method ﻿

(Springer, 2020-03-18)
Article
Restricted access - publisher's policy
A new adaptive refinement strategy for phase-field models of brittle fracture is proposed. The approach provides a computationally efficient solution to the high demand in spatial resolution of phase-field models. The ...
• #### Constant sigma_2-curvature metrics with non isolated singularities ﻿

(Universitat Politècnica de Catalunya, 2016-10)
Master thesis
Restricted access - author's decision
The aim of this thesis is to give a method to produce families of complete Riemannian metrics with positive constant $\sigma_k$-curvature equal to $2^{-k}\binom{n}{k}$ on $M\setminus \Lambda^p$, where $M$ is a Riemannian ...
• #### Equacions de difusió no local: laplacià fraccionari i operadors convolutius ﻿

(Universitat Politècnica de Catalunya, 2015-07)
Bachelor thesis
Open Access
L objectiu d aquest treball de fi de grau és estudiar dues generalitzacions de l equació de la calor, la primera enlloc d un laplacià té un laplacià fraccionari i la segona un operador de la forma \$Lu = J &#8727; u &#8722; ...
• #### Locally adaptive phase-field models and transition to fracture ﻿

(Universitat Politècnica de Catalunya, 2020-11-30)
Doctoral thesis
Open Access
This thesis proposes a new computational model for the efficient simulation of crack propagation, through the combination of a phase-field model in small subdomains around crack tips and a discontinuous model in the rest ...