Shi G (2007) A new simple third-order shear deformation theory of plates. Int J Solids Struct 44:4399–4417
CrossRef
MATH
Google Scholar
Seifi R, Nafiseh K-Y (2011) Experimental and numerical studies on buckling of cracked thin plates under full and partial compression edge loading. Thin Walled Struct 19:1504–1516
CrossRef
Google Scholar
Jha DK, Kant T, Singh RK (2013) A critical review of recent research on functionally graded plates. Compos Struct 96:833–849
CrossRef
Google Scholar
Fantuzzi N, Tornabene F, Viola E (2016) Four-parameter functionally graded cracked plates of arbitrary shape: a GDQFEM solution for free vibrations. Mech Adv Mater Struct 23(1):89–107
CrossRef
Google Scholar
Huang CS, McGee OG III, Chang MJ (2011) Vibrations of cracked rectangular FGM thick plates. Compos Struct 93(7):1747–1764
CrossRef
Google Scholar
Wattanasakulpong N, Prusty GB, Kelly DW (2013) Free and forced vibration analysis using improved third-order shear deformation theory for functionally graded plates under high temperature loading. J Sandwich Struct Mater 15:583–606
CrossRef
Google Scholar
Shariat BAS, Eslami MR (2007) Buckling of thick functionally graded plates under mechanical and thermal loads. Compos Struct 78(3):433–439
CrossRef
Google Scholar
Golmakani ME, Kadkhodayan M (2011) Large deformation analysis of circular and annular FGM plates under thermo-mechanical loadings with temperature dependent properties. Composite Part B 42:614–625
CrossRef
Google Scholar
Najafizadeh MM, Heydari HR (2004) Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory. Eur J Mech 23(6):1085–1100
CrossRef
MATH
Google Scholar
Talha M, Singh BN (2010) Static response and free vibration analysis of FGM plates using higher order shear deformation theory. Appl Math Model 34:3991e4011
Google Scholar
Dolbow J, Moës N, Belytschko T (2000) Modeling fracture in Mindlin-Reissner plates with the extended finite element method. Int J Solids Struct 37:7161–7183
CrossRef
MATH
Google Scholar
Shaterzadeh A, Abolghasemi S, Rezaei R (2014) Finite element analysis of thermal buckling of rectangular laminated composite plates with circular cutout. J Therm Stress 37(5):604–623
CrossRef
Google Scholar
Yu T, Bui TQ, Yin S, Doan DH, Wu CT, Van Do T, Tanaka S (2016) On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis. Compos Struct 136:684–695
Google Scholar
Baiz PM, Bordas S, Kerfriden P, Rabczuk T (2011) Linear buckling analysis of cracked plates by SFEM and XFEM (SmXFEM). J Mech Mater Struct 6(9–10):1213–1238
CrossRef
Google Scholar
Natarajan S, Baiz PM, Bordas S, Rabczuk T, Kerfriden P (2011) Natural frequencies of cracked functionally graded material plates by the extended finite element method. Compos Struct 93(11):3082–3092
CrossRef
Google Scholar
Kuhn C, Muller R (2010) A continuum phase field model for fracture. Eng Fract Mech 77:3625–3634
CrossRef
Google Scholar
Borden MJ, Verhoosel CV, Scott MA, Hughes TJR, Landis CM (2012) A phase-field description of dynamic brittle fracture. Comput Methods Appl Mech Eng 217–220:77–95
MathSciNet
CrossRef
MATH
Google Scholar
Areias P, Rabczuk T, Msekh M (2016) Phase-field analysis of finite-strain plates and shells including element subdivision. Comput Methods Appl Mech Eng 312(C):322–350
Google Scholar
Amiri F, Milan D, Shen Y, Rabczuk T, Arroyo M (2014) Phase-field modeling of fracture in linear thin shells. Theoret Appl Fract Mech 69:102–109
CrossRef
Google Scholar
Reddy JN (2000) Analysis of functionally graded plates. Int J Numer Methods Eng 47:663–684
CrossRef
MATH
Google Scholar
Bui TQ, Van Do T, Ton LHT, Doan DH, Tanaka S, Pham DT, Nguyen-Van T-A, Yu T, Hirose S (2016) On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory. Compos Part B 92:218–241
Google Scholar