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Erschienen in: Strength of Materials 5/2013

01.09.2013

Particularization of Quadratic Strength Criterion for an Orthotropic Material

verfasst von: V. A. Romashchenko

Erschienen in: Strength of Materials | Ausgabe 5/2013

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Abstract

A new quadratic strength criterion for an orthotropic material is put forward. It is based on the data of 21 simplest experiments in uniaxial tension, compression, and pure shear. The number of independent tests to failure is shown to be reduced to ten in the case of a unidirectionally reinforced (transtropic) composite. The paper addresses also some of the other types of symmetry of elastic and strength properties, which are frequently encountered in practice.

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Literatur
1.
Zurück zum Zitat U. Icardi, S. Locatto, and A. Longo, “Assessment of recent theories for predicting failure of composite laminates,” Appl. Mech. Rev., 60, 76–86 (2007).CrossRef U. Icardi, S. Locatto, and A. Longo, “Assessment of recent theories for predicting failure of composite laminates,” Appl. Mech. Rev., 60, 76–86 (2007).CrossRef
2.
Zurück zum Zitat H. Thom, “A review of the biaxial strength of fibre-reinforced plastics,” Composites. Part A: Appl. Sci. Manufact., 29, 869–886 (1998).CrossRef H. Thom, “A review of the biaxial strength of fibre-reinforced plastics,” Composites. Part A: Appl. Sci. Manufact., 29, 869–886 (1998).CrossRef
3.
Zurück zum Zitat Mau-hong Yu, “Advances in strength theories for materials under complex stress state in the 20th century,” Appl. Mech. Rev., 55, 169–218 (2002).CrossRef Mau-hong Yu, “Advances in strength theories for materials under complex stress state in the 20th century,” Appl. Mech. Rev., 55, 169–218 (2002).CrossRef
4.
Zurück zum Zitat Failure Criteria in Fibre-Reinforced Polymer Composites: The World-Wide Failure Exercise, Elsevier, Amsterdam–Boston–Heidelberg–London–New York–Oxford–Paris–San Diego–San Francisco–Singapore–Sydney–Tokyo (2004). Failure Criteria in Fibre-Reinforced Polymer Composites: The World-Wide Failure Exercise, Elsevier, Amsterdam–Boston–Heidelberg–London–New York–Oxford–Paris–San Diego–San Francisco–Singapore–Sydney–Tokyo (2004).
5.
Zurück zum Zitat J. G. Michopoulos, “On the reducibility of failure theories for composite materials,” Compos. Struct., 86, 165–176 (2008).CrossRef J. G. Michopoulos, “On the reducibility of failure theories for composite materials,” Compos. Struct., 86, 165–176 (2008).CrossRef
6.
Zurück zum Zitat A. C. Orifici, I. Herszberg, and R. S. Thomson, “Review of methodologies for composite material modeling incorporating failure,” Compos. Struct., 86, 194–210 (2008).CrossRef A. C. Orifici, I. Herszberg, and R. S. Thomson, “Review of methodologies for composite material modeling incorporating failure,” Compos. Struct., 86, 194–210 (2008).CrossRef
7.
Zurück zum Zitat M. R. Garnich and V. M. K. Akula, “Review of degradation models for progressive failure analysis of fiber reinforced polymer composites,” Appl. Mech. Rev., 62, 1–33 (2009).CrossRef M. R. Garnich and V. M. K. Akula, “Review of degradation models for progressive failure analysis of fiber reinforced polymer composites,” Appl. Mech. Rev., 62, 1–33 (2009).CrossRef
8.
Zurück zum Zitat P. F. Liu and J. Y. Zheng, “Recent developments on damage modeling and finite element analysis for composite laminates: A review,” Mater. Design, 31, 3825–3834 (2010).CrossRef P. F. Liu and J. Y. Zheng, “Recent developments on damage modeling and finite element analysis for composite laminates: A review,” Mater. Design, 31, 3825–3834 (2010).CrossRef
9.
Zurück zum Zitat E. M. Wu, “Phenomenological anisotropic failure criterion,” in: L. J. Broutman and R. H. Krock (Eds.), Modern Composite Materials [Russian translation], Vol. 2, Mir, Moscow (1978), pp. 401–491. E. M. Wu, “Phenomenological anisotropic failure criterion,” in: L. J. Broutman and R. H. Krock (Eds.), Modern Composite Materials [Russian translation], Vol. 2, Mir, Moscow (1978), pp. 401–491.
10.
Zurück zum Zitat S. W. Tsai and E. M. Wu, “A general theory of strength for anisotropic materials,” J. Compos. Mater., 5, 58–80 (1971).CrossRef S. W. Tsai and E. M. Wu, “A general theory of strength for anisotropic materials,” J. Compos. Mater., 5, 58–80 (1971).CrossRef
11.
Zurück zum Zitat L. P. Kollar and G. S. Springer, Mechanics of Composite Structures, Cambridge University Press, Cambridge (2003).CrossRef L. P. Kollar and G. S. Springer, Mechanics of Composite Structures, Cambridge University Press, Cambridge (2003).CrossRef
12.
Zurück zum Zitat V. A. Romashchenko, “Strength assessment for composite and metal-composite cylinders under pulse loading. Part 1. Rules of choosing various strength criteria for anisotropic material and comparative analysis of such criteria,” Strength Mater., 44, No. 4, 376–387 (2012).CrossRef V. A. Romashchenko, “Strength assessment for composite and metal-composite cylinders under pulse loading. Part 1. Rules of choosing various strength criteria for anisotropic material and comparative analysis of such criteria,” Strength Mater., 44, No. 4, 376–387 (2012).CrossRef
13.
Zurück zum Zitat A. K. Onkar, C. S. Upadhyay, and D. Yadav, “Probabilistic failure of laminated composite plates using the stochastic finite element method,” Compos. Struct., 77, 79–91 (2007).CrossRef A. K. Onkar, C. S. Upadhyay, and D. Yadav, “Probabilistic failure of laminated composite plates using the stochastic finite element method,” Compos. Struct., 77, 79–91 (2007).CrossRef
14.
Zurück zum Zitat G. P. Zhao and C. D. Cho, “Damage initiation and propagation in composite shells subjected to impact,” Compos. Struct., 78, 91–100 (2007).CrossRef G. P. Zhao and C. D. Cho, “Damage initiation and propagation in composite shells subjected to impact,” Compos. Struct., 78, 91–100 (2007).CrossRef
15.
Zurück zum Zitat E. K. Ashkenazi and É. V. Ganov, Anisotropy of Structural Materials. Handbook [in Russian], Mashinostroenie, Leningrad (1980). E. K. Ashkenazi and É. V. Ganov, Anisotropy of Structural Materials. Handbook [in Russian], Mashinostroenie, Leningrad (1980).
16.
Zurück zum Zitat S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Body [in Russian], Nauka, Moscow (1977). S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Body [in Russian], Nauka, Moscow (1977).
17.
Zurück zum Zitat G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev, Handbook in the Strength of Materials [in Russian], Delta, Kiev (2008). G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev, Handbook in the Strength of Materials [in Russian], Delta, Kiev (2008).
18.
Zurück zum Zitat M. N. Krivosheina, A. V. Radchenko, and A. V. Kobenko, “Failure of orthotropic and isotropic spherical bodies under the uniform compression pulse,” Mekh. Kompoz. Mater. Strukt., 7, No. 1, 95–102 (2001). M. N. Krivosheina, A. V. Radchenko, and A. V. Kobenko, “Failure of orthotropic and isotropic spherical bodies under the uniform compression pulse,” Mekh. Kompoz. Mater. Strukt., 7, No. 1, 95–102 (2001).
19.
Zurück zum Zitat M. N. Krivosheina, S. V. Kobenko, and E. V. Tuch, “Averaging of properties of anisotropic composite materials in numerical modeling of their failure,” Fiz. Mezomekh., 13, No. 2, 55–60 (2010). M. N. Krivosheina, S. V. Kobenko, and E. V. Tuch, “Averaging of properties of anisotropic composite materials in numerical modeling of their failure,” Fiz. Mezomekh., 13, No. 2, 55–60 (2010).
20.
Zurück zum Zitat G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968). G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).
Metadaten
Titel
Particularization of Quadratic Strength Criterion for an Orthotropic Material
verfasst von
V. A. Romashchenko
Publikationsdatum
01.09.2013
Verlag
Springer US
Erschienen in
Strength of Materials / Ausgabe 5/2013
Print ISSN: 0039-2316
Elektronische ISSN: 1573-9325
DOI
https://doi.org/10.1007/s11223-013-9490-x

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