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Geometrically exact beam theory with embedded strong discontinuities for the modeling of failure in structures. I: Formulation and finite element implementation - MaRDI portal

Geometrically exact beam theory with embedded strong discontinuities for the modeling of failure in structures. I: Formulation and finite element implementation (Q6094675)

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scientific article; zbMATH DE number 7737582

Language	Label	Description	Also known as
English	Geometrically exact beam theory with embedded strong discontinuities for the modeling of failure in structures. I: Formulation and finite element implementation	scientific article; zbMATH DE number 7737582

Statements

scholarly article

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Geometrically exact beam theory with embedded strong discontinuities for the modeling of failure in structures. I: Formulation and finite element implementation (English)

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T. Christian Gasser

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Artem Kulachenko

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Sören Östlund

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Adnan Ibrahimbegović

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Computer Methods in Applied Mechanics and Engineering

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publication date

14 September 2023

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zbMATH Keywords

damage

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fracture

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beams

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strong discontinuity

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staggered

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fiber network

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2023.116013

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On one-dimensional finite-strain beam theory: the plane problem

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Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells

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A finite strain beam formulation. The three-dimensional dynamic problem. I

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On finite element implementation of geometrically nonlinear Reissner's beam theory: Three-dimensional curved beam elements

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An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods

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An excursion into large rotations

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A three-dimensional finite-strain rod model. II. Computational aspects

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A beam finite element non-linear theory with finite rotations

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On the choice of finite rotation parameters

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A mortar-type finite element approach for embedding 1D beams into 3D solid volumes

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An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids

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Finite element methods for the multi-scale modeling of softening hinge lines in plates at failure

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Finite element methods for the analysis of softening plastic hinges in beams and frames

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A finite element method for crack growth without remeshing

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A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM

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Multi-scale computational homogenization-localization for propagating discontinuities using X-FEM

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Lattice element models and their peculiarities

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Correction to: ``Hybrid of monolithic and staggered solution techniques for the computational analysis of fracture, assessed on fibrous network mechanics''

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Modeling multi-fracturing fibers in fiber networks using elastoplastic Timoshenko beam finite elements with embedded strong discontinuities -- formulation and staggered algorithm

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Embedded discontinuity finite element method for modeling of localized failure in heterogeneous materials with structured mesh: An alternative to extended finite element method

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A class of mixed assumed strain methods and the method of incompatible modes

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A modified method of incompatible modes

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Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation

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On the BFGS monolithic algorithm for the unified phase field damage theory

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A generalised path-following solver for robust analysis of material failure

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A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation

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Energy consistent framework for continuously evolving 3D crack propagation

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A line search assisted monolithic approach for phase-field computing of brittle fracture

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An accelerated staggered scheme for variational phase-field models of brittle fracture

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A generalised phase field model for fatigue crack growth in elastic-plastic solids with an efficient monolithic solver

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Phase field modeling of brittle fracture in large-deformation solid shells with the efficient quasi-Newton solution and global-local approach

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Non-linear Modeling and Analysis of Solids and Structures

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On the role of frame invariance in structural mechanics models at finite rotations

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A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits

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Evolution of bond fractures in a randomly distributed fiber network

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Identifiers

10.1016/j.cma.2023.116013

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6094675

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