A gradient enhanced plasticity–damage microplane model for concrete

Zreid, Imadeddin; Kaliske, Michael

doi:10.1007/s00466-018-1561-1

Cited by 84 publications

(90 citation statements)

References 39 publications

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“…We adopt in this work the plasticity formulation represented by a Drucker‐Prager yield surface equipped with a tension and a compression cap formulated in Reference and extend it to rate dependency to account for viscous effects that are observed experimentally in concrete behavior. The stress‐strain relation in a deformed body, which undergoes plastic deformation, can be given as follows:

\begin{matrix} bold-italicσ = \frac{3}{4 π} \int_{normalΩ} true[K^{mic} bold-italicV ((), ϵ_{normalV} - ϵ_{normalV}^{v p}) + 2 G^{mic} {boldDev}^{normalT} \cdot ((), {bold-italicϵ}_{normalD} - {bold-italicϵ}_{normalD}^{v p}) true] d normalΩ, \end{matrix}

where σ is the homogenized macroscopic stress tensor,

ϵ_{V}^{v p}

and

ϵ_{D}^{v p}

are the microscopic volumetric and deviatoric viscoplastic strains.…”

Section: Plasticity‐erosion Model For Quasi‐brittle Materialsmentioning

confidence: 99%

“…R and R t control the increase of the intersections' absolute values of the two caps with the abscissa axis due to hardening. In Reference , a physical interpretation of most of these parameters is explained with respect to standard concrete. To quantify the accumulation of plasticity on the material point level, the following quantity is calculated

κ^{hom} = \frac{\frac{3}{4 π} \int_{Ω} κ d Ω}{\frac{3}{4 π} \int_{Ω} d Ω} .

…”

Section: Plasticity‐erosion Model For Quasi‐brittle Materialsmentioning

confidence: 99%

“…In Reference , a material parameter study for concrete was presented. These parameters are adopted also in this work to highlight the rate effects of the overall response.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Furthermore, we introduce herein rate‐dependent plasticity to model the material and structural characteristics of concrete. A Drucker‐Prager yield surface with caps, described in Reference , is modified to account for rate effects using the viscoplastic consistency approach.…”

Section: Introductionmentioning

confidence: 99%

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Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Qinami

Pandolfi

Kaliske

2019

Numerical Meth Engineering

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Summary In the context of eigenfracture scheme, the work at hand introduces a variational eigenerosion approach for inelastic materials. The theory seizes situations where the material accumulates large amounts of plastic deformations. For these cases, the surface energy entering the energy balance equation is rescaled to favor fracture, thus energy minimization delivers automatically the crack‐tracking solution also for inelastic cases. The minimization approach is sound and preserves the mathematical properties necessary for the Γ‐limit proof, thus the existence of (local) minimizers is guaranteed by the Γ‐convergence theory. Although it is not possible to demonstrate that the obtained minimizers are global, satisfactory results are obtained with the local minimizers provided by the method. Furthermore, with the goal of addressing the constitutive behavior of concrete, a Drucker‐Prager viscoplastic consistency model is introduced in the microplane setting. The model delivers a rate‐dependent three‐surface smooth yield function that requires hardening and hardening‐rate parameters. The independent evolution of viscoplasticity in different microplanes induces anisotropy in the mechanical response. The sound performance of the model is illustrated via numerical examples for both rate‐independent and rate‐dependent plasticity.

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\begin{matrix} bold-italicσ = \frac{3}{4 π} \int_{normalΩ} true[K^{mic} bold-italicV ((), ϵ_{normalV} - ϵ_{normalV}^{v p}) + 2 G^{mic} {boldDev}^{normalT} \cdot ((), {bold-italicϵ}_{normalD} - {bold-italicϵ}_{normalD}^{v p}) true] d normalΩ, \end{matrix}

where σ is the homogenized macroscopic stress tensor,

ϵ_{V}^{v p}

and

ϵ_{D}^{v p}

are the microscopic volumetric and deviatoric viscoplastic strains.…”

Section: Plasticity‐erosion Model For Quasi‐brittle Materialsmentioning

confidence: 99%

κ^{hom} = \frac{\frac{3}{4 π} \int_{Ω} κ d Ω}{\frac{3}{4 π} \int_{Ω} d Ω} .

…”

Section: Plasticity‐erosion Model For Quasi‐brittle Materialsmentioning

confidence: 99%

“…In Reference , a material parameter study for concrete was presented. These parameters are adopted also in this work to highlight the rate effects of the overall response.…”

Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Qinami

Pandolfi

Kaliske

2019

Numerical Meth Engineering

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“…Die nachfolgenden Ausführungen sind auf ausgewählte Fragestellungen – Microplane‐Modelle zur Erfassung von Plastizität und Schädigung – bei der realitätsnahen, deterministischen, numerischen Analyse (zuverlässige Grundlösung) konzentriert .…”

Section: Motivationunclassified

Zur Fortentwicklung des Microplane‐Modells für die numerische Analyse von Betonstrukturen

et al. 2019

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Weltweit ist Stahlbeton der meist angewendete Baustoff im Bauwesen. Grundlage einer qualitativ hochwertigen und effizienten deterministischen Analyse ist die nichtlineare numerische Modellierung. Aus der Vielzahl der aktuellen Entwicklungen ist die Beschreibung der Betoncharakteristiken mit dem Microplane‐Modell ausgewählt. Die wesentlichen Aspekte und Vorteile der Vorgehensweisen werden vorgestellt und an sehr anschaulichen praktischen Beispielen gezeigt. Die Implementierung der Modelle in kommerzielle Programme ist weit vorangeschritten, sodass eine breite Nutzung zukünftig möglich sein wird. Der vorliegende Beitrag wurde am 19. Okt. 2018 im Rahmen des 22. Dresdner Baustatik Seminars präsentiert.

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New perspectives on carbon reinforced concrete structures—Why new composites need new design strategies

Curbach,

Hegger,

Bielak

et al. 2024

Civil Engineering Design

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In civil engineering, carbon is typically regarded as a modern material to serve as reinforcement in concrete structures. Compared to steel reinforcement, it features two substantial benefits: It is not sensitive to corrosion, and has an enormously increased tensile strength. In contrast, carbon reinforcement is sensitive to lateral pressure and lacks the property of strain hardening. As a first step of establishing carbon reinforced concrete as a new building composite material, carbon reinforcement has basically served to replace the state‐of‐the‐art steel reinforcement. This target led to pioneering findings with respect to determining the material properties of the composite and developing advanced individual components. However, barely substituting steel by carbon does not allow to fully utilise the carbon's benefits while its disadvantageous properties reveal the limits of this approach. Instead, novel design principles are required to meet the material's nature aiming at appropriately using its beneficial properties.Currently, new construction principles are being researched for high‐performance building material combinations such as textile and carbon reinforced concrete. This paper provides an overview of baselines in the preliminary stages of this research. The overview includes history, inspiration, concrete matrices, non‐metallic reinforcement, structural elements, modelling, production, tomography, and sustainability. The objective of the study is to provide a baseline for the envisaged development of principles for future construction: radically new concepts for the design, modelling, construction, manufacturing, and use of sustainable, resource‐efficient building elements made of mineral building materials with the aim of entirely benefiting from the materials’ potential.This article is protected by copyright. All rights reserved.

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A gradient enhanced plasticity–damage microplane model for concrete

Cited by 84 publications

References 39 publications

Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Zur Fortentwicklung des Microplane‐Modells für die numerische Analyse von Betonstrukturen

New perspectives on carbon reinforced concrete structures—Why new composites need new design strategies

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