An experimental-computational investigation of fracture in brittle materials

Proft, K. De; Wells, Garth N.; Sluys, L.J.; Wilde, W. P. De

doi:10.12989/cac.2004.1.3.227

Cited by 4 publications

(2 citation statements)

References 7 publications

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“…Im Rahmen dieses Aufsatzes soll die Aufmerksamkeit der Nichtlinearität im Vorbruchbereich des effektiven Stoffverhaltens gelten, die insbesondere bei äußeren Druckbe- [34], [35], [36] und im Falle von Druckbeanspruchung durch [37], [38], [39]. Das stoffgesetzliche Format der Kontaktzone ist in Bild 16 veranschaulicht.…”

Section: Geltungsbereich Hypothesenunclassified

Gefügebasierte Stoffbeziehungen für zementgebundene Partikelwerkstoffe: Homogenisierung heterogener Stoffsysteme

Zimmermann

Kleinman

Hordijk

2005

BUST

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Section: Geltungsbereich Hypothesenunclassified

Gefügebasierte Stoffbeziehungen für zementgebundene Partikelwerkstoffe: Homogenisierung heterogener Stoffsysteme

Zimmermann

Kleinman

Hordijk

2005

BUST

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“…The partition of unity concept [2], which allows a local enrichment of the standard finite element basis by special functions has been widely used to model the displacement discontinuity in a number of applications, e.g., the quasi-brittle failure of natural stones such as Massangis limestone [6] or continuous-discontinuous modeling of failure in high performance fiber-reinforced cement composites [7]. In this framework, the discontinuity in the displacement field is introduced by enriching the standard finite element polynomial basis with the Heaviside function [8].…”

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Effect of Boundary Constraints in the Formulation of the Partition of Unity Method: One-dimensional Setting

Audy¹,

Šejnoha²

2004

Acta Polytech

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The paper examines an effect of boundary constraints applied to the enhanced degrees of freedom of partition of unity based discontinuous elements. To highlight the present issue the problem is studied in a one-dimensional setting. In particular, an example of a one-dimensional bar element crossed by a set of discontinuities having a finite elastic stiffness clearly shows a need for proper approximation of the displacement field within a discontinuous element in order to correctly represent the structural response. While the discontinuous elements with boundary constraints applied to the enhanced degrees of freedom display an unrealistic dependence of the global response on the locations of the discontinuities, the discontinuous elements with complete approximation of the discontinuous part of the displacement field provide the expected global response independent of the locations of the discontinuities.

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