Peridynamic Modeling of Mode-I Delamination Growth in Double Cantilever Composite Beam Test: A Two-Dimensional Modeling Using Revised Energy-Based Failure Criteria

This study presents a two-dimensional ordinary state-based peridynamic (OSB PD) modeling of mode-I delamination growth in a double cantilever composite beam (DCB) test using revised energy-based failure criteria. The two-dimensional OSB PD composite model for DCB modeling is obtained by reformulating the previous OSB PD lamina model in x–z direction. The revised energy-based failure criteria are derived following the approach of establishing the relationship between critical bond breakage work and energy release rate. Loading increment convergence analysis and grid spacing influence study are conducted to investigate the reliability of the present modeling. The peridynamic (PD) modeling load–displacement curve and delamination growth process are then quantitatively compared with experimental results obtained from standard tests of composite DCB samples, which show good agreement between the modeling results and experimental results. The PD modeling delamination growth process damage contours are also illustrated. Finally, the influence of the revised energy-based failure criteria is investigated. The results show that the revised energy-based failure criteria improve the accuracy of the PD delamination modeling of DCB test significantly.

[1]  Philippe H. Geubelle,et al.  Non-ordinary state-based peridynamic analysis of stationary crack problems , 2014 .

[2]  Pedro P. Camanho,et al.  Numerical Simulation of Delamination Growth in Composite Materials , 2001 .

[3]  Erdogan Madenci,et al.  Combined finite element and peridynamic analyses for predicting failure in a stiffened composite curved panel with a central slot , 2012 .

[4]  Erkan Oterkus,et al.  Peridynamic modeling of composite laminates under explosive loading , 2016 .

[5]  Jifeng Xu,et al.  Peridynamic analysis of damage and failure in composites. , 2006 .

[6]  Yin Yu,et al.  Peridynamic analytical method for progressive damage in notched composite laminates , 2014 .

[7]  Erkan Oterkus,et al.  Peridynamic analysis of fiber-reinforced composite materials , 2012 .

[8]  Ning Hu,et al.  XFEM simulation of delamination in composite laminates , 2016 .

[9]  Chun-Gon Kim,et al.  Optimal Design of Composite Stiffened Panel with Cohesive Elements using Micro-Genetic Algorithm , 2008 .

[10]  Erdogan Madenci,et al.  Bond-based peridynamic modeling of composite laminates with arbitrary fiber orientation and stacking sequence , 2016 .

[11]  Erdogan Madenci,et al.  An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory , 2010 .

[12]  S. Silling.  Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces , 2000 .

[13]  Erkan Oterkus,et al.  Peridynamic Theory for Damage Initiation and Growth in Composite Laminate , 2011 .

[14]  Erkan Oterkus,et al.  Peridynamic Theory and Its Applications , 2013 .

[15]  M. Crisfield,et al.  Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues , 2001 .

[16]  R. Penmetsa,et al.  Stochastic modeling of delamination growth in unidirectional composite DCB specimens using cohesive zone models , 2013 .

[17]  E. Madenci,et al.  Peridynamic modeling of delamination growth in composite laminates , 2015 .

[18]  P. Camanho,et al.  Numerical Simulation of Mixed-Mode Progressive Delamination in Composite Materials , 2003 .

[19]  M. Shokrieh,et al.  Finite element modeling of mode I delamination growth in laminated DCB specimens with R-curve effects , 2013 .

[20]  E. Madenci,et al.  Peridynamics for predicting tensile and compressive strength of notched composites , 2016 .

[21]  Massimiliano Fatica,et al.  CUDA Fortran for Scientists and Engineers: Best Practices for Efficient CUDA Fortran Programming , 2013 .

[22]  G. Felice,et al.  A numerical procedure for the simulation of skin–stringer debonding growth in stiffened composite panels , 2014 .

[23]  R. Stewart,et al.  Decoupling Strength and Grid Resolution in Peridynamic Theory , 2019, Journal of Peridynamics and Nonlocal Modeling.

[24]  S. Silling,et al.  Peridynamic States and Constitutive Modeling , 2007 .

[25]  M. Wenman,et al.  Mesh and timestep sensitivity of fracture from thermal strains using peridynamics implemented in Abaqus , 2013 .

[26]  R. Lehoucq,et al.  Peridynamic Theory of Solid Mechanics , 2010 .

[27]  Tanchum Weller,et al.  Failure analysis in postbuckled composite T-sections , 2008 .

[28]  Jifeng Xu,et al.  Peridynamic Analysis of Impact Damage in Composite Laminates , 2008 .

[29]  S. Silling,et al.  A meshfree method based on the peridynamic model of solid mechanics , 2005 .

[30]  Erdogan Madenci,et al.  Peridynamics for fatigue life and residual strength prediction of composite laminates , 2017 .

[31]  Steven F. Henke,et al.  Mesh sensitivity in peridynamic simulations , 2014, Comput. Phys. Commun..

[32]  Michele Meo,et al.  Delamination modelling in a double cantilever beam , 2005 .

[33]  Mirco Zaccariotto,et al.  Static solution of crack propagation problems in Peridynamics , 2019, Computer Methods in Applied Mechanics and Engineering.

[34]  Ronald Krueger,et al.  A summary of benchmark examples to assess the performance of quasi-static delamination propagation prediction capabilities in finite element codes , 2015 .

[35]  Erkan Oterkus,et al.  Damage growth prediction from loaded composite fastener holes by using peridynamic theory , 2010 .