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This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and…

Materials Science · Physics 2017-11-02 Emilio Martínez-Pañeda , Rafael Gallego

Uncertainty quantification is not yet widely adapted in the design process of engineering components despite its importance for achieving sustainable and resource-efficient structures. This is mainly due to two reasons: 1) Tracing the…

Computational Engineering, Finance, and Science · Computer Science 2024-12-18 Hendrik Geisler , Emmanuel Baranger , Philipp Junker

The phase field fracture method is attracting significant interest. Phase field approaches have enabled predicting - on arbitrary geometries and dimensions - complex fracture phenomena such as crack branching, coalescence, deflection and…

Computational Engineering, Finance, and Science · Computer Science 2021-04-19 Yousef Navidtehrani , Covadonga Betegón , Emilio Martínez-Pañeda

IFISS is an established MATLAB finite element software package for studying strategies for solving partial differential equations (PDEs). IFISS3D is a new add-on toolbox that extends IFISS capabilities for elliptic PDEs from two to three…

Numerical Analysis · Mathematics 2022-09-28 Georgios Papanikos , Catherine E. Powell , David J. Silvester

Recent advancements in computations have enabled the application of various modeling approaches to predict fracture and failure, such as the gradient-damage (phasefield) method. Several existing studies have leveraged the heat equation…

Soft Condensed Matter · Physics 2026-01-14 Keven Alkhoury , Shawn A. Chester , Vikas Srivastava

T-IFISS is a finite element software package for studying finite element solution algorithms for deterministic and parametric elliptic partial differential equations. The emphasis is on self-adaptive algorithms with rigorous error control…

Numerical Analysis · Mathematics 2020-03-11 Alex Bespalov , Leonardo Rocchi , David Silvester

The quadrature of cut elements is crucial for all Finite Element Methods that do not apply boundary-fitted meshes. It should be efficient, accurate, and robust. Various approaches balancing these requirements have been published, with some…

Computational Engineering, Finance, and Science · Computer Science 2026-02-23 Michael Loibl , Guilherme H. Teixeira , Teoman Toprak , Irina Shishkina , Chen Miao , Josef Kiendl , Florian Kummer , Benjamin Marussig

This paper presents results and convergence study of the Global--Local Iterative Coupling through the implementation in the commercial software Abaqus making use of the co-simulation engine. A hierarchical modeling and simulation approach…

Numerical Analysis · Mathematics 2024-04-25 Omar Bettinotti , Stéphane Guinard , Eric Véron , Pierre Gosselet

The structural identifiability and the observability of a model determine the possibility of inferring its parameters and states by observing its outputs. These properties should be analysed before attempting to calibrate a model.…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Xabier Rey Barreiro , Alejandro F. Villaverde

\textbf{FlexBox} is a flexible MATLAB toolbox for finite dimensional convex variational problems in image processing and beyond. Such problems often consist of non-differentiable parts and involve linear operators. The toolbox uses a…

Optimization and Control · Mathematics 2016-07-21 Hendrik Dirks

We present an open source software package SpectroLab a Matlab-based tool developed in 2018 for the analysis of spectroscopic data. In this package, there are tools for derivative analysis, stacked energy contours, stacked plots for theory,…

Materials Science · Physics 2022-03-15 Christopher Sims

In this paper, we discuss the implementation of a cell based smoothed finite element method (CSFEM) within the commercial finite element software Abaqus. The salient feature of the CSFEM is that it does not require an explicit form of the…

The emergence of data-driven computational materials science offers unprecedented opportunities to explore complex material landscapes, complementing experimental research with the discovery of novel compounds. To enable these developments,…

Materials Science · Physics 2026-04-30 Holger-Dietrich Saßnick , Joshua Edzards , Timo Reents , Caterina Cocchi

Spatial numerical integration is essential for finite element analysis. Currently, numerical integration schemes, mostly based on Gauss quadrature, are widely used. Herein, we present an alternative semi-analytical approach for mass matrix…

Numerical Analysis · Mathematics 2015-06-09 Eli Hanukah

We present a simple and robust implementation of the phase field fracture method in Abaqus. Unlike previous works, only a user material (UMAT) subroutine is used. This is achieved by exploiting the analogy between the phase field balance…

Computational Engineering, Finance, and Science · Computer Science 2021-04-28 Yousef Navidtehrani , Covadonga Betegón , Emilio Martínez-Pañeda

The scaled boundary finite element method (SBFEM) is capable of generating polyhedral elements with an arbitrary number of surfaces. This salient feature significantly alleviates the meshing burden being a bottleneck in the analysis…

Mathematical Software · Computer Science 2021-04-21 Shukai Ya , Sascha Eisenträger , Chongmin Song , Jianbo Li

This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification in additive…

Computational Engineering, Finance, and Science · Computer Science 2019-04-30 Eric Neiva , Santiago Badia , Alberto F. Martín , Michele Chiumenti

Adiabatic quantum programming defines the time-dependent mapping of a quantum algorithm into an underlying hardware or logical fabric. An essential step is embedding problem-specific information into the quantum logical fabric. We present…

Quantum Physics · Physics 2012-11-08 Christine Klymko , Blair D. Sullivan , Travis S. Humble

Soft materials play an integral part in many aspects of modern life including autonomy, sustainability, and human health, and their accurate modeling is critical to understand their unique properties and functions. Today's finite element…

Computational Engineering, Finance, and Science · Computer Science 2024-09-24 Mathias Peirlinck , Juan A. Hurtado , Manuel K. Rausch , Adrian Buganza Tepole , Ellen Kuhl

pde2path is a free and easy to use Matlab continuation/bifurcation package for elliptic systems of PDEs with arbitrary many components, on general two dimensional domains, and with rather general boundary conditions. The package is based on…

Analysis of PDEs · Mathematics 2012-09-27 Hannes Uecker , Daniel Wetzel , Jens D. M. Rademacher
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