M
Michael J. Borden
Researcher at University of Texas at Austin
Publications - 29
Citations - 3676
Michael J. Borden is an academic researcher from University of Texas at Austin. The author has contributed to research in topics: Isogeometric analysis & Fracture (geology). The author has an hindex of 15, co-authored 29 publications receiving 2783 citations. Previous affiliations of Michael J. Borden include Sandia National Laboratories & Brigham Young University.
Papers
More filters
Journal ArticleDOI
A phase-field description of dynamic brittle fracture
TL;DR: It is shown that the combination of the phase-field model and local adaptive refinement provides an effective method for simulating fracture in three dimensions.
Journal ArticleDOI
Isogeometric finite element data structures based on Bézier extraction of T-splines
Michael A. Scott,Michael J. Borden,Michael J. Borden,Clemens V. Verhoosel,Thomas W. Sederberg,Thomas J. R. Hughes +5 more
TL;DR: It is shown that the extraction operator and Bézier elements provide an element structure for isogeometric analysis that can be easily incorporated into existing finite element codes, without any changes to element form and assembly algorithms, and standard data processing arrays.
Journal ArticleDOI
An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
Dominik Schillinger,Dominik Schillinger,Luca Dedè,Michael A. Scott,John A. Evans,Michael J. Borden,Ernst Rank,Thomas J. R. Hughes +7 more
TL;DR: It is shown that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features of NURBS, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions.
Journal ArticleDOI
A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework
TL;DR: This work derives the thermodynamically consistent governing equations for the fourth-order phase-field model by way of a variational principle based on energy balance assumptions, which leads to higher regularity in the exact phase- field solution, which can be exploited by the smooth spline function spaces utilized in isogeometric analysis.
Journal ArticleDOI
A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects
TL;DR: In this paper, a cubic degradation function was proposed to provide a stress-strain response prior to crack initiation, which more closely approximates linear elastic behavior, and a derivation of the governing equations in terms of a general energy potential from balance laws that describe the kinematics of both the body and phase-field.