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Erschienen in: Engineering with Computers 1/2023

31.10.2021 | Original Article

A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures

verfasst von: Khuong D. Nguyen, Cuong-Le Thanh, H. Nguyen-Xuan, M. Abdel-Wahab

Erschienen in: Engineering with Computers | Ausgabe 1/2023

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Abstract

Porosities exist as pores of different sizes within a structure to fabricate lightweight materials and the sintering process. The porous structure gives a lower loading capacity than the perfect design. Crack propagation is also a complicated behavior in this structure. The hybrid phase-field approach is suitable to provide an effective computational tool to model the crack propagation of functionally graded materials with porosity effects. We show the influence of porosity on both the critical force and crack path of the FGM structure. In the framework of isogeometric analysis (IGA), a local refinement multi-patch algorithm based on the Virtual Uncommon-Knot-Inserted Master–Slave (VUKIMS) technique allows us to reduce the computational cost of the phase-field model significantly. The study revealed that cubic NURBS elements with the effective element size of half length-scale parameter could be used to achieve the desired accuracy while maintaining a reasonable computational cost.

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Literatur
1.
Zurück zum Zitat Alessi R, Freddi F (2017) Phase-field modelling of failure in hybrid laminates. Compos Struct 181:9–25CrossRef Alessi R, Freddi F (2017) Phase-field modelling of failure in hybrid laminates. Compos Struct 181:9–25CrossRef
7.
Zurück zum Zitat Bouhala L, Makradi A, Belouettar S (2012) Thermal and thermo-mechanical influence on crack propagation using an extended mesh free method. Eng Fract Mech 88:35–48CrossRef Bouhala L, Makradi A, Belouettar S (2012) Thermal and thermo-mechanical influence on crack propagation using an extended mesh free method. Eng Fract Mech 88:35–48CrossRef
8.
Zurück zum Zitat Bourdin B, Francfort GA (2008) Marigo J-JJJoe. The variational approach to fracture 91:5–148 Bourdin B, Francfort GA (2008) Marigo J-JJJoe. The variational approach to fracture 91:5–148
9.
Zurück zum Zitat Buliga MJJoE (1998) Energy minimizing brittle crack propagation. 52:201 Buliga MJJoE (1998) Energy minimizing brittle crack propagation. 52:201
14.
Zurück zum Zitat Costantini M, Jaroszewicz J, Kozon L, Szlazak K, Swieszkowski W, Garstecki P, Stubenrauch C, Barbetta A, Guzowski J (2019) 3D-printing of functionally graded porous materials using on-demand reconfigurable microfluidics. Angew Chem Int Ed Engl 58:7620–7625. https://doi.org/10.1002/anie.201900530CrossRef Costantini M, Jaroszewicz J, Kozon L, Szlazak K, Swieszkowski W, Garstecki P, Stubenrauch C, Barbetta A, Guzowski J (2019) 3D-printing of functionally graded porous materials using on-demand reconfigurable microfluidics. Angew Chem Int Ed Engl 58:7620–7625. https://​doi.​org/​10.​1002/​anie.​201900530CrossRef
16.
Zurück zum Zitat Dal Maso G (2002) Toader RJAfRM, Analysis A model for the quasi-static growth of brittle fractures: existence and approximation. Results 162:101–135MATH Dal Maso G (2002) Toader RJAfRM, Analysis A model for the quasi-static growth of brittle fractures: existence and approximation. Results 162:101–135MATH
17.
Zurück zum Zitat Dastjerdi S, Malikan M, Dimitri R, Tornabene F (2020) Nonlocal elasticity analysis of moderately thick porous functionally graded plates in a hygro-thermal environment. Compos Struct 255:112925CrossRef Dastjerdi S, Malikan M, Dimitri R, Tornabene F (2020) Nonlocal elasticity analysis of moderately thick porous functionally graded plates in a hygro-thermal environment. Compos Struct 255:112925CrossRef
18.
Zurück zum Zitat Demirhan PA, Taskin V (2019) Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach. Compos B Eng 160:661–676CrossRef Demirhan PA, Taskin V (2019) Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach. Compos B Eng 160:661–676CrossRef
22.
Zurück zum Zitat Gerstle WH, Martha LF, Ingraffea AR (1987) Finite and boundary element modeling of crack propagation in two and three dimensions. Eng Comput 2:167–183CrossRef Gerstle WH, Martha LF, Ingraffea AR (1987) Finite and boundary element modeling of crack propagation in two and three dimensions. Eng Comput 2:167–183CrossRef
23.
Zurück zum Zitat Gharehdash S, Shen L, Gan Y (2020) Numerical study on mechanical and hydraulic behaviour of blast-induced fractured rock. Eng Comput 36:915–929CrossRef Gharehdash S, Shen L, Gan Y (2020) Numerical study on mechanical and hydraulic behaviour of blast-induced fractured rock. Eng Comput 36:915–929CrossRef
24.
Zurück zum Zitat Goswami S, Anitescu C, Chakraborty S, Rabczuk T (2020) Transfer learning enhanced physics informed neural network for phase-field modeling of fracture. Theor Appl Fract Mech 106:102447CrossRef Goswami S, Anitescu C, Chakraborty S, Rabczuk T (2020) Transfer learning enhanced physics informed neural network for phase-field modeling of fracture. Theor Appl Fract Mech 106:102447CrossRef
26.
Zurück zum Zitat Griffith AA (1921) VI. The phenomena of rupture and flow in solids. Philos Trans R Soc Lond Ser A 221:163–198CrossRefMATH Griffith AA (1921) VI. The phenomena of rupture and flow in solids. Philos Trans R Soc Lond Ser A 221:163–198CrossRefMATH
29.
Zurück zum Zitat Hosseini S, Bagheri R, Monfared M (2020) Transient response of several cracks in a nonhomogeneous half-layer bonded to a magneto-electro-elastic coating. Theor Appl Fract Mech 110:102821CrossRef Hosseini S, Bagheri R, Monfared M (2020) Transient response of several cracks in a nonhomogeneous half-layer bonded to a magneto-electro-elastic coating. Theor Appl Fract Mech 110:102821CrossRef
31.
Zurück zum Zitat Irwin GR (1957) Analysis of stresses and strains near the end of a crack transversing a plate. Trans ASME Ser E J Appl Mech 24:361–364CrossRef Irwin GR (1957) Analysis of stresses and strains near the end of a crack transversing a plate. Trans ASME Ser E J Appl Mech 24:361–364CrossRef
33.
Zurück zum Zitat Karami B, Janghorban M, Li L (2018) On guided wave propagation in fully clamped porous functionally graded nanoplates. Acta Astronaut 143:380–390CrossRef Karami B, Janghorban M, Li L (2018) On guided wave propagation in fully clamped porous functionally graded nanoplates. Acta Astronaut 143:380–390CrossRef
34.
Zurück zum Zitat Kim J-H, Paulino GH (2004) Simulation of crack propagation in functionally graded materials under mixed-mode and non-proportional loading. Mech Mater Des 1:63–94 Kim J-H, Paulino GH (2004) Simulation of crack propagation in functionally graded materials under mixed-mode and non-proportional loading. Mech Mater Des 1:63–94
35.
Zurück zum Zitat Le Thanh C, Nguyen TN, Vu TH, Khatir S, Wahab MA (2020) A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate. Eng Comput 1–12 Le Thanh C, Nguyen TN, Vu TH, Khatir S, Wahab MA (2020) A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate. Eng Comput 1–12
37.
Zurück zum Zitat Liu Y, Su S, Huang H, Liang Y (2019) Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Compos B Eng 168:236–242CrossRef Liu Y, Su S, Huang H, Liang Y (2019) Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Compos B Eng 168:236–242CrossRef
41.
Zurück zum Zitat Mishra R, Burela RG (2019) Thermo-electro-mechanical fatigue crack growth simulation in piezoelectric solids using XFEM approach. Theor Appl Fract Mech 104:102388CrossRef Mishra R, Burela RG (2019) Thermo-electro-mechanical fatigue crack growth simulation in piezoelectric solids using XFEM approach. Theor Appl Fract Mech 104:102388CrossRef
42.
Zurück zum Zitat Moes N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. J Numer Methods Eng 46:131–150MathSciNetCrossRefMATH Moes N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. J Numer Methods Eng 46:131–150MathSciNetCrossRefMATH
46.
Zurück zum Zitat Nguyen NT, Bui TQ, Zhang C, Truong TT (2014) Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method. Eng Anal Bound Elem 44:87–97MathSciNetCrossRefMATH Nguyen NT, Bui TQ, Zhang C, Truong TT (2014) Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method. Eng Anal Bound Elem 44:87–97MathSciNetCrossRefMATH
47.
Zurück zum Zitat Nha NT, Bang TK, Tinh BQ, Thien TT (2013) Elastostatic analysis of isotropic and orthotropic functionally graded structures by meshfree radial point interpolation method Nha NT, Bang TK, Tinh BQ, Thien TT (2013) Elastostatic analysis of isotropic and orthotropic functionally graded structures by meshfree radial point interpolation method
48.
Zurück zum Zitat Parthasarathy J, Starly B, Raman S (2011) A design for the additive manufacture of functionally graded porous structures with tailored mechanical properties for biomedical applications. J Manuf Process 13:160–170CrossRef Parthasarathy J, Starly B, Raman S (2011) A design for the additive manufacture of functionally graded porous structures with tailored mechanical properties for biomedical applications. J Manuf Process 13:160–170CrossRef
53.
Zurück zum Zitat Phung-Van P, Thai CH, Nguyen-Xuan H, Wahab MA (2019) Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis. Compos B Eng 164:215–225CrossRef Phung-Van P, Thai CH, Nguyen-Xuan H, Wahab MA (2019) Porosity-dependent nonlinear transient responses of functionally graded nanoplates using isogeometric analysis. Compos B Eng 164:215–225CrossRef
55.
Zurück zum Zitat Rabczuk T, Areias P, Belytschko T (2007) A meshfree thin shell method for non-linear dynamic fracture. Int J Numer Meth Eng 72:524–548MathSciNetCrossRefMATH Rabczuk T, Areias P, Belytschko T (2007) A meshfree thin shell method for non-linear dynamic fracture. Int J Numer Meth Eng 72:524–548MathSciNetCrossRefMATH
57.
Zurück zum Zitat Rezaei A, Saidi A, Abrishamdari M, Mohammadi MP (2017) Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: an analytical approach. Thin-Walled Struct 120:366–377CrossRef Rezaei A, Saidi A, Abrishamdari M, Mohammadi MP (2017) Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: an analytical approach. Thin-Walled Struct 120:366–377CrossRef
62.
65.
Zurück zum Zitat Bittencourt TN, Wawrzynek PA, Ingraffea AR, Sousa JL (1996) Quasi-automatic simulation of crack propagation for 2D LEFM problems. Eng Fract Mech 55:321–334CrossRef Bittencourt TN, Wawrzynek PA, Ingraffea AR, Sousa JL (1996) Quasi-automatic simulation of crack propagation for 2D LEFM problems. Eng Fract Mech 55:321–334CrossRef
67.
Zurück zum Zitat Trinh M-C, Kim S-E (2019) A three variable refined shear deformation theory for porous functionally graded doubly curved shell analysis. Aerosp Sci Technol 94:105356CrossRef Trinh M-C, Kim S-E (2019) A three variable refined shear deformation theory for porous functionally graded doubly curved shell analysis. Aerosp Sci Technol 94:105356CrossRef
70.
Zurück zum Zitat Yadav A, Godara R, Bhardwaj G (2020) A review on XIGA method for computational fracture mechanics applications. Eng Fract Mech 107001 Yadav A, Godara R, Bhardwaj G (2020) A review on XIGA method for computational fracture mechanics applications. Eng Fract Mech 107001
72.
Zurück zum Zitat Zhang J, Yu T, Bui TQ (2021) An adaptive XIGA with locally refined NURBS for modeling cracked composite FG Mindlin–Reissner plates. Eng Comput 1–23 Zhang J, Yu T, Bui TQ (2021) An adaptive XIGA with locally refined NURBS for modeling cracked composite FG Mindlin–Reissner plates. Eng Comput 1–23
73.
Zurück zum Zitat Zhang P, Feng Y, Bui TQ, Hu X, Yao W (2020) Modelling distinct failure mechanisms in composite materials by a combined phase field method. Compos Struct 232:111551CrossRef Zhang P, Feng Y, Bui TQ, Hu X, Yao W (2020) Modelling distinct failure mechanisms in composite materials by a combined phase field method. Compos Struct 232:111551CrossRef
74.
Zurück zum Zitat Zhang P, Hu X, Bui TQ, Yao W (2019) Phase field modeling of fracture in fiber reinforced composite laminate. Int J Mech Sci 161:105008CrossRef Zhang P, Hu X, Bui TQ, Yao W (2019) Phase field modeling of fracture in fiber reinforced composite laminate. Int J Mech Sci 161:105008CrossRef
Metadaten
Titel
A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures
verfasst von
Khuong D. Nguyen
Cuong-Le Thanh
H. Nguyen-Xuan
M. Abdel-Wahab
Publikationsdatum
31.10.2021
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 1/2023
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-021-01518-0

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