An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams

Ferri, Giulio; Ignesti, Diego; Marino, Enzo

doi:10.1016/j.cma.2023.116413

Computer Methods in Applied Mechanics and Engineering

2023

DOI: 10.1016/j.cma.2023.116413

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An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams

Giulio Ferri,

Diego Ignesti,

Enzo Marino

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2024

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Cited by 9 publications

References 100 publications

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A discontinuous Galerkin/cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams

Kota,

Kumar,

Giovanardi

2024

Comput Mech

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Slender beams are often employed as constituents in engineering materials and structures. Prior experiments on lattices of slender beams have highlighted their complex failure response, where the interplay between buckling and fracture plays a critical role. In this paper, we introduce a novel computational approach for modeling fracture in slender beams subjected to large deformations. We adopt a state-of-the-art geometrically exact Kirchhoff beam formulation to describe the finite deformations of beams in three-dimensions. We develop a discontinuous Galerkin finite element discretization of the beam governing equations, incorporating discontinuities in the position and tangent degrees of freedom at the inter-element boundaries of the finite elements. Before fracture initiation, we enforce compatibility of nodal positions and tangents weakly, via the exchange of variationally-consistent forces and moments at the interfaces between adjacent elements. At the onset of fracture, these forces and moments transition to cohesive laws modeling interface failure. We conduct a series of numerical tests to verify our computational framework against a set of benchmarks and we demonstrate its ability to capture the tensile and bending fracture modes in beams exhibiting large deformations. Finally, we present the validation of our framework against fracture experiments of dry spaghetti rods subjected to sudden relaxation of curvature.

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A discontinuous Galerkin/cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams

Kota,

Kumar,

Giovanardi

2024

Comput Mech

View full text Add to dashboard Cite

show abstract

Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams

Sahmani,

Safaei,

Kotrasova

2024

Ain Shams Engineering Journal

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An isogemetric analysis formulation for the dynamics of geometrically exact viscoelastic beams and beam systems with arbitrarily curved initial geometry

Ferri,

Marino

2024

Computer Methods in Applied Mechanics and Engineering

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An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams

Cited by 9 publications

References 100 publications

A discontinuous Galerkin/cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams

A discontinuous Galerkin/cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams

Curvature sensitive model of isogeometric collocation for multiple nonlinear equilibria of reinforced porous curved microbeams

An isogemetric analysis formulation for the dynamics of geometrically exact viscoelastic beams and beam systems with arbitrarily curved initial geometry

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