Damage and fracture: Classical continuum theories

Volegov, Pavel S.; Gribov, Dmitry S.; Трусов, П. В.

doi:10.1134/s1029959917020060

Cited by 19 publications

(4 citation statements)

References 62 publications

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“…Определяющие соотношения (2)-(8), учитывающие анизотропный характер поврежденности, соответствуют подходу, предложенному для описания процессов накопления поврежденности и разрушения композиционных материалов в [35]. Подробные обзоры современной научной литературы, посвященной проблематике описания процессов накопления поврежденности и разрушения, могут быть найдены в [36][37][38].…”

Section: определяющие уравнения материала с включенными компонентами unclassified

Computational Simulation of the Damage Accumulation Processes in Cracked Solids by the User Procedure Umat of Simulia Abaqus

Степанова

2018

PNRPU MB

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The paper presents the experience of using the user subroutine UMAT for FEM package SIMULIA Abaqus/CAE for damage accumulation processes in the vicinity of the crack. A continuum damage mechanics model based on the constitutive relations of linear elastic isotropic materials with the incorporated damage tensor components is used to describe the material behavior. The material nonlinearity arising from the deformation process is modelled by introducing an anisotropic damage tensor of the second rank into the constitutive equation. The material model is described by means of user procedure UMAT of SIMULIA Abaqus. The finite element (FE) mechanical constitutive model is implemented in Abaqus/Standard via a UMAT routine. Numerical experiments for a large series of cracked specimens have been performed. Computed stress and damage tensor components were found. It is shown that they are not dependent on the FE mesh refinement. Distributions of the damage tensor components in the vicinity of the crack tip in cracked specimens of different configurations under mixed mode loading in a wide range of mixed mode loadings are found. The configurations of active damage accumulation process zone in the cracked specimens are obtained. It is shown that the damage accumulation process has a substantial influence on the stress-strain state in the vicinity of the crack tip and leads to a decrease of the stress concentration in cracked specimens.

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Section: определяющие уравнения материала с включенными компонентами unclassified

Computational Simulation of the Damage Accumulation Processes in Cracked Solids by the User Procedure Umat of Simulia Abaqus

Степанова

2018

PNRPU MB

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“…The level of description of the heterogeneities of the material is a classification criterion of the numerical models. Macroscopic models based on damage and/or plasticity theories have been extensively used to describe the fracture behavior of concrete [11,12]. At this scale, the material is considered as a continuum solid.…”

Section: Introductionmentioning

confidence: 99%

Mesomechanical Investigation of the Relationship between the Length of the Fracture Process Zone and Crack Extensions in Concrete

Matallah

Aissaoui

2020

Phys Mesomech

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Â ðàìêàõ ïîäõîäà ìåçîìåõàíèêè ïðîâåäåíî ìîäåëèðîâàíèå ðàçðóøåíèÿ êâàçèõðóïêèõ ìàòåðèàëîâ, ïîäîáíûõ áåòîíó. Ïðåäñòàâëåí äåòàëüíûé àíàëèç èçìåíåíèÿ äëèíû çîíû ïðåäðàçðóøåíèÿ â õîäå îáðàçîâàíèÿ òðåùèí. Ðàññìîòðåíà âçàèìîñâÿçü ìåaeäó äëèíîé çîíû ïðåäðàçðóøåíèÿ è ðàñêðûòèåì òðåùèíû. Â õîäå èñïûòàíèé íà òðeõòî÷å÷íûé èçãèá áàëîê ñ ðàçëè÷íûìè íàäðåçàìè èññëåäîâàíî èçìåíåíèå çîíû ïðåäðàçðóøåíèÿ ñ òî÷êè çðåíèÿ ýâîëþöèè êàñàòåëüíûõ íàïðÿaeåíèé ñöåïëåíèÿ âäîëü òðåùèíû. Ñ èñïîëüçîâàíèåì ïîíÿòèé ìåõàíèêè óïðóãîãî ðàçðóøåíèÿ âû÷èñëåíî ïðèðàùåíèå äëèíû òðåùèíû. Ïîêàçàíà íåëèíåéíàÿ âçàèìîñâÿçü ìåaeäó äëèíîé çîíû ïðåäðàçðóøåíèÿ è äëèíîé òðåùèíû íà ìåçîóðîâíå. Íà îñíîâå ïîëó÷åííûõ çíà÷åíèé ïðèðàùåíèÿ äëèíû òðåùèíû ïîêàçàíî, ÷òî R-êðèâàÿ çàâèñèò îò ðàçìåðà îáðàçöà è êîíôèãóðàöèè íàäðåçà.

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“…In this connection the elaboration of system concept of construction and further using of such design complexes both from methodological point of view and from the position of construction of integrated functional design of interdependent models rendering possible to solve complex problems passing from their simple statement to a more complicated one becomes of the current interest [1]. At that the models determining the structures behavior and integrated into a complex are constructed with due consideration of present-day state of theoretical research and experimental data on fullness and adequacy of the considered physical and mechanical processes description [3,4]. If necessary the models are complicated on account of their correlation.…”

Section: Introductionmentioning

confidence: 99%

Technique of Engineering Structures Strength Analysis Taking into Account Damageability of Materials during Creep

Белов¹,

Поливанов²,

Morozova³

et al. 2018

Proceedings of the International Conference "Actual Issues of Mechanical Engineering" (AIME 2018)

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This work describes research methods of complex problem solution to estimate strength and durability of flat laminas and multiple layer shells of rotation with an account of plastic deformations, temperature creep, the hydrogen corrosion and degradation of material's properties in time. The practical solutions of the problems of calculating the stress-strain state of a flat lamina with a hole was made. The lamina was under pressure at a temperature of 500°C. The dependence of the time of the onset of the limiting state on the value of the damage parameter for three different pressure values is investigated. The components of the stress-strain state and the time to failure of the laminas were determined. As the limiting state, the moments of the onset of the process of destruction and complete destruction of the laminas were considered. In the course of the research it was found that the choice of the damage parameter limiting value has a significant effect on the fracture time evaluation, and this effect is especially pronounced when performing calculations taking into account the motion of the fracture front. If the damage parameter is incorrectly selected, the time to failure estimate can be either overestimated or underestimated. On the basis of the obtained results of calculations, recommendations are formulated for the choice of the adequate damage parameter values.

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Damage and fracture: Classical continuum theories

Cited by 19 publications

References 62 publications

Computational Simulation of the Damage Accumulation Processes in Cracked Solids by the User Procedure Umat of Simulia Abaqus

Computational Simulation of the Damage Accumulation Processes in Cracked Solids by the User Procedure Umat of Simulia Abaqus

Mesomechanical Investigation of the Relationship between the Length of the Fracture Process Zone and Crack Extensions in Concrete

Technique of Engineering Structures Strength Analysis Taking into Account Damageability of Materials during Creep

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