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- W3170891555 abstract "Abstract We study an approximation scheme for a variational theory of cohesive fracture in a one-dimensional setting. Here, the energy functional is approximated by a family of functionals depending on a small parameter $$0 < varepsilon ll 1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo><</mml:mo> <mml:mi>ε</mml:mi> <mml:mo>≪</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> and on two fields: the elastic part of the displacement field and an eigendeformation field that describes the inelastic response of the material beyond the elastic regime. We measure the inelastic contributions of the latter in terms of a non-local energy functional. Our main result shows that, as $$varepsilon rightarrow 0$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>ε</mml:mi> <mml:mo>→</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> , the approximate functionals $$Gamma$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Γ</mml:mi> </mml:math> -converge to a cohesive zone model." @default.
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- W3170891555 date "2022-05-19" @default.
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- W3170891555 title "Eigendamage: an eigendeformation model for the variational approximation of cohesive fracture—a one-dimensional case study" @default.
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- W3170891555 doi "https://doi.org/10.1007/s10231-022-01196-9" @default.
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