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2022 | OriginalPaper | Buchkapitel

7. Weight Function Method for Crack in Orthotropic Materials

verfasst von : Xue-Ren Wu, Wu Xu

Erschienen in: Weight Function Methods in Fracture Mechanics

Verlag: Springer Nature Singapore

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Abstract

Damage tolerance is increasingly important in the composite structural design community. However, there are very limited solutions of closed-form stress intensity factors (SIF), crack opening displacements (COD) and weight functions available for cracked composite plates. In this chapter, the Wu-Carlsson weight function method (WFM) for isotropic material is extended to crack analysis in orthotropic material. Explicit weight function for an edge crack in an orthotropic strip is provided. Through extensive verifications against results from finite element analyses (FEAs) and existing literature data, the present WFM is demonstrated to be highly accurate, efficient and versatile for calculating SIFs and CODs for edge cracks in orthotropic materials.

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Literatur
1.
Zurück zum Zitat Laffan MJ, Pinho ST, Robinson P, McMillan AJ (2012) Translaminar fracture toughness testing of composites: a review. Polym Testing 31:481–489CrossRef Laffan MJ, Pinho ST, Robinson P, McMillan AJ (2012) Translaminar fracture toughness testing of composites: a review. Polym Testing 31:481–489CrossRef
2.
Zurück zum Zitat Liu H, Falzon BG, Catalanotti G, Tan W (2018) An experimental method to determine the intralaminar fracture toughness of high-strength carbon-fiber reinforced composite aerostructures. Aeronaut J 122(1255):1352–1370CrossRef Liu H, Falzon BG, Catalanotti G, Tan W (2018) An experimental method to determine the intralaminar fracture toughness of high-strength carbon-fiber reinforced composite aerostructures. Aeronaut J 122(1255):1352–1370CrossRef
3.
Zurück zum Zitat Lin S, Nguyen N, Waas AM (2019) Application of continuum decohesive finite element to progressive failure analysis of composite materials. Compos Struct 212:365–380CrossRef Lin S, Nguyen N, Waas AM (2019) Application of continuum decohesive finite element to progressive failure analysis of composite materials. Compos Struct 212:365–380CrossRef
4.
Zurück zum Zitat Xu W, Thorsson SI, Waas AM (2015) Experimental and numerical study on cross-ply woven textile composite with notches and cracks. Compos Struct 132:816–824CrossRef Xu W, Thorsson SI, Waas AM (2015) Experimental and numerical study on cross-ply woven textile composite with notches and cracks. Compos Struct 132:816–824CrossRef
5.
Zurück zum Zitat Xu W, Waas AM (2017) Fracture toughness of woven textile composites. Eng Fract Mech 169:184–188CrossRef Xu W, Waas AM (2017) Fracture toughness of woven textile composites. Eng Fract Mech 169:184–188CrossRef
6.
Zurück zum Zitat Ortega A, Maimí P, Gonzalez EV, Sainz de Aja JR, de la Escalera FM, Cruz P (2017) Translaminar fracture toughness of interply hybrid laminates under tensile and compressive loads. Compos Sci Technol 143:1–12 Ortega A, Maimí P, Gonzalez EV, Sainz de Aja JR, de la Escalera FM, Cruz P (2017) Translaminar fracture toughness of interply hybrid laminates under tensile and compressive loads. Compos Sci Technol 143:1–12
7.
Zurück zum Zitat Pinho ST, Robinson P, Iannucci L (2006) Fracture toughness of the tensile and compressive fibre failure modes in laminated composites. Compos Sci Technol 66:2069–2079CrossRef Pinho ST, Robinson P, Iannucci L (2006) Fracture toughness of the tensile and compressive fibre failure modes in laminated composites. Compos Sci Technol 66:2069–2079CrossRef
8.
Zurück zum Zitat Blanco N, Trias D, Pinho S T (2014) Intralaminar fracture toughness characterisation of woven composite laminates. Part I: design and analysis of a compact tension (CT) specimen. Eng Fracture Mech 131:349–360 Blanco N, Trias D, Pinho S T (2014) Intralaminar fracture toughness characterisation of woven composite laminates. Part I: design and analysis of a compact tension (CT) specimen. Eng Fracture Mech 131:349–360
9.
Zurück zum Zitat Underwood JH, Kortschot MT, Lloyd WR, Eidinoff HL, Wilson DA, Ashbaugh N (1995) Translaminar fracture toughness test methods and results from interlaboratory tests of carbon/epoxy laminates. In: Reuter WG, Underwood JH, Jr Newman JC (eds) Fracture mechanics, vol 26. ASTM STP, pp 1256 Underwood JH, Kortschot MT, Lloyd WR, Eidinoff HL, Wilson DA, Ashbaugh N (1995) Translaminar fracture toughness test methods and results from interlaboratory tests of carbon/epoxy laminates. In: Reuter WG, Underwood JH, Jr Newman JC (eds) Fracture mechanics, vol 26. ASTM STP, pp 1256
10.
Zurück zum Zitat ASTM E1922–04 (2013) Standard test method for translaminar fracture toughness of laminated and pultruded polymer matrix composite materials. ASTM International ASTM E1922–04 (2013) Standard test method for translaminar fracture toughness of laminated and pultruded polymer matrix composite materials. ASTM International
11.
Zurück zum Zitat Piascik RS, Jr Newman JC, Underwood JH (1997) The extended compact tension specimen. Fatigue Fract Eng Mater Struct 20(4):559–563CrossRef Piascik RS, Jr Newman JC, Underwood JH (1997) The extended compact tension specimen. Fatigue Fract Eng Mater Struct 20(4):559–563CrossRef
12.
Zurück zum Zitat Sih GC, Paris PC, Irwin GR (1965) On cracks in rectilinearly anisotropic bodies. Int J Fract Mech 189–203 Sih GC, Paris PC, Irwin GR (1965) On cracks in rectilinearly anisotropic bodies. Int J Fract Mech 189–203
13.
Zurück zum Zitat Suo Z, Bao G, Fan B, Wang TC (1991) Orthotropy rescaling and implications for fracture in composite. Int J Solids Struct 28(2):235–248CrossRef Suo Z, Bao G, Fan B, Wang TC (1991) Orthotropy rescaling and implications for fracture in composite. Int J Solids Struct 28(2):235–248CrossRef
14.
Zurück zum Zitat Bao G, Ho S, Suo Z, Fan B (1992) The role of material orthotropy in fracture specimens for composites. Int J Solids Struct 29(9):1105–1116CrossRef Bao G, Ho S, Suo Z, Fan B (1992) The role of material orthotropy in fracture specimens for composites. Int J Solids Struct 29(9):1105–1116CrossRef
15.
Zurück zum Zitat Sorensen BF (2016) Delamination fractures in composite materials. In: Modeling damage, fatigue and failure of composite materials, series in composites science and engineering. Woodhead publishing, pp 213–240 Sorensen BF (2016) Delamination fractures in composite materials. In: Modeling damage, fatigue and failure of composite materials, series in composites science and engineering. Woodhead publishing, pp 213–240
16.
Zurück zum Zitat Xu W, Zhang C, Wu XR, Yu Y (2020) Weight function method and its application for orthotropic single edge notched specimens. Compos Struct 252:112695 Xu W, Zhang C, Wu XR, Yu Y (2020) Weight function method and its application for orthotropic single edge notched specimens. Compos Struct 252:112695
17.
Zurück zum Zitat Wu XR, Carlsson AJ (1991) Weight functions and stress intensity factor solutions. Pergamon Press, OxfordMATH Wu XR, Carlsson AJ (1991) Weight functions and stress intensity factor solutions. Pergamon Press, OxfordMATH
18.
Zurück zum Zitat Williams ML (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech 19(4):526–528CrossRef Williams ML (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech 19(4):526–528CrossRef
19.
Zurück zum Zitat Kaya AC, Erdogan F (1978) Stress intensity factor in an orthotropic strip under general loading conditions. NASA Grant No NGR 39:007–011 Kaya AC, Erdogan F (1978) Stress intensity factor in an orthotropic strip under general loading conditions. NASA Grant No NGR 39:007–011
20.
Zurück zum Zitat Wu XR, Tong DH, Zhao XC, Xu W (2018) Review and evaluation of weight functions and stress intensity Factors for edge-cracked finite-width plate. Eng Fract Mech 195:200–221CrossRef Wu XR, Tong DH, Zhao XC, Xu W (2018) Review and evaluation of weight functions and stress intensity Factors for edge-cracked finite-width plate. Eng Fract Mech 195:200–221CrossRef
21.
Zurück zum Zitat ASTM E 399–17 (2017) Standard test method for linear-elastic plane-strain fracture toughness KIC of metallic materials. ASTM International ASTM E 399–17 (2017) Standard test method for linear-elastic plane-strain fracture toughness KIC of metallic materials. ASTM International
22.
Zurück zum Zitat John R (1997) Stress intensity factor and compliance solutions for an eccentrically loaded single edge cracked geometry. Eng Fract Mech 58(1–2):87–96CrossRef John R (1997) Stress intensity factor and compliance solutions for an eccentrically loaded single edge cracked geometry. Eng Fract Mech 58(1–2):87–96CrossRef
23.
Zurück zum Zitat Xu W, Waas AM (2017) Multiple solution in cohesive zone models of fracture. Eng Fract Mech 177:104–122CrossRef Xu W, Waas AM (2017) Multiple solution in cohesive zone models of fracture. Eng Fract Mech 177:104–122CrossRef
Metadaten
Titel
Weight Function Method for Crack in Orthotropic Materials
verfasst von
Xue-Ren Wu
Wu Xu
Copyright-Jahr
2022
Verlag
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-16-8961-1_7

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