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Continuum Mechanics and Thermodynamics
Erschienen in: Continuum Mechanics and Thermodynamics 4/2023

05.10.2022 | Original Article

Modeling and numerical investigation of damage behavior in pantographic layers using a hemivariational formulation adapted for a Hencky-type discrete model

verfasst von: M. Erden Yildizdag, Luca Placidi, Emilio Turco

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 4/2023

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Abstract

In this study, a hemivariational formulation is presented for a Hencky-type discrete model to predict damage behavior in pantographic layers. In the discrete model, elastic behavior of pantographic layers is modeled via extensional, bending and shear springs. A damage descriptor is added for each spring type. Such a damage descriptor is non-decreasing function of time, and therefore, the standard variational formulation of the problem is generalized to a hemivariational one providing not only the Euler–Lagrange equations for the evolution of the displacements of all the standard degrees of freedom but also the Karush–Khun–Tucker condition governing the evolution of damage descriptor. The dissipation energy included in the hemivariational formulation depends upon six additional constitutive parameters (two per each spring type), and the mechanical behavior of layer is simulated with an efficient and smart strategy able to solve the nonlinear equilibrium equations coupled with the evolution of damage variables. A metallic pantographic layer which was experimentally investigated in the literature is considered to test the proposed formulation.
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Fußnoten
1
The hypothesis of pantographic layer with orthogonal beams can easily be removed as proven in [47].
 
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Metadaten
Titel
Modeling and numerical investigation of damage behavior in pantographic layers using a hemivariational formulation adapted for a Hencky-type discrete model
verfasst von
M. Erden Yildizdag
Luca Placidi
Emilio Turco
Publikationsdatum
05.10.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Continuum Mechanics and Thermodynamics / Ausgabe 4/2023
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-022-01154-z

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