A new view on J-integrals in elastic–plastic materials

Kolednik, O.; Schöngrundner, R.; Fischer, F.D.

doi:10.1007/s10704-013-9920-6

Cited by 78 publications

(38 citation statements)

References 54 publications

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“…Finally, it is also important to discuss the relevance of traditional fracture mechanics approaches, typically focusing on the prediction of crack propagation, thus assuming the existence of an initial crack (Müller et al 2002;Näser et al 2007;Kolednik et al 2010;Ott et al 2010), in the context of the material studied in this paper. Actually, it seems to be a worthwhile subject of future research actitivities to extend the micromechanics-based assessment of specific, microscopically sized material constituents (as demonstrated in this paper) towards traditional fracture mechanics, see e.g.…”

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

Strength increase during ceramic biomaterial-induced bone regeneration: a micromechanical study

2016

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Bone tissue engineering materials must blend in the targeted physiological environment, in terms of both the materials' biocompatibility and mechanical properties. As for the latter, a well-adjusted stiffness ensures that the biomaterial's deformation behavior fits well to the deformation behavior of the surrounding biological tissue, whereas an appropriate strength provides sufficient load-carrying capacity of the biomaterial. Here, a mathematical modeling approach for estimating the macroscopic load that initiates failure of a hierarchically organized, granular, hydroxyapatite-based biomaterial is presented. For this purpose, a micromechanics model is developed for downscaling macroscopically prescribed stress (or strain) states to the level of the needle-shaped hydroxyapatite crystals. Presuming that the biomaterial fails due to the quasi-brittle failure of the most unfavorably stressed hydroxyapatite needle, the downscaled stress tensors are fed into a suitable, Mohr-Coulomb-

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Section: Discussion and Concluding Remarksmentioning

confidence: 99%

Strength increase during ceramic biomaterial-induced bone regeneration: a micromechanical study

2016

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“…In such cases, the same problem with the correct experimental determination of the fracture toughness occurs. It should be mentioned in this respect that the application of the J-integral as driving force parameter in elastic-plastic materials has been discussed by Simha et al (2008) and Kolednik et al (2014a).…”

Section: Discussionmentioning

confidence: 99%

On problems with the determination of the fracture resistance for materials with spatial variations of the Young’s modulus

et al. 2014

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The paper considers the near-tip J-integral J tip , the far-field J-integral J far , and the experimental J-integral J exp in a material with sinusoidal variation of the Young's modulus E. The evaluations of J tip and J far are based on the concept of configurational forces; J exp is evaluated from the area below the load point displacement curve, as prescribed by the standard testing procedures. Analytic expressions and/or approximation formulae are derived, how J tip , J far and J exp depend on the system parameters of the material, i.e. wavelength and amplitude of the E-variation and its phase shift with respect to the crack tip position, and the global specimen dimensions. The analyses show that J tip and J far exhibit a strong dependency on the phase shift, but not the experimental J-integral J exp . This is the reason why the current procedures for fracture mechanics testing are not suitable to determine the

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“…cf. [9,10] and the references cited there. In the following the second possibility is discussed representatively.…”

Section: Configurational Forcesmentioning

confidence: 99%

“…In the following the second possibility is discussed representatively. Assume a homogeneous body B in the plane strain setting to contain a crack and consider a path Γ surrounding the crack tip, as indicated in [8,10].…”

Section: Configurational Forcesmentioning

confidence: 99%

Configurational forces in cyclic metal plasticity

Tsakmakis

Vormwald

2019

MATEC Web Conf.

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The configurational force concept is known to describe adequately the crack driving force in linear fracture mechanics. It seems to represent the crack driving force also for the case of elastic-plastic material properties. The latter has been recognized on the basis of thermodynamical considerations. In metal plasticity, real materials exhibit hardening effects when sufficiently large loads are applied. Von Mises yield function with isotropic and kinematic hardening is a common assumption in many models. Kinematic and isotropic hardening turn out to be very important whenever cyclic loading histories are applied. This holds equally regardless of whether the induced deformations are homogeneous or non-homogeneous. The aim of the present paper is to discuss the effect of nonlinear isotropic and kinematic hardening on the response of the configurational forces and related parameters in elastic-plastic fracture problems. *

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A new view on J-integrals in elastic–plastic materials

Cited by 78 publications

References 54 publications

Strength increase during ceramic biomaterial-induced bone regeneration: a micromechanical study

Strength increase during ceramic biomaterial-induced bone regeneration: a micromechanical study

On problems with the determination of the fracture resistance for materials with spatial variations of the Young’s modulus

Configurational forces in cyclic metal plasticity

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