TY - JOUR
T1 - An adaptive Ritz formulation for progressive damage modelling in variable angle tow composite plates
AU - Campagna, Dario
AU - Oliveri, Vincenzo
AU - Benedetti, Ivano
N1 - Publisher Copyright:
© 2024 The Author(s)
PY - 2024/3/1
Y1 - 2024/3/1
N2 - In this work, an adaptive Ritz model for the analysis of variable angle tow composite plates featuring damage initiation and evolution under progressive loading is proposed, developed, implemented and tested. The plate kinematics is represented employing a first-order shear deformation theory, while the plate equilibrium equations at a given load step are obtained by minimizing the structure potential energy. The constitutive behaviour is modelled within the framework of continuum damage mechanics. In particular the initiation and evolution of damage, up to failure, are tracked by defining irreversible damage indices related to both fibres and matrix, both in tensile or compression loading. The discrete equations are then obtained by assuming a polynomial Ritz approximation of the primary kinematic variables in the energy minimization. Preliminary tests show how the application of the method as a single-domain approach induces the emergence of problematic spurious effects, related to Gibbs artefacts due to the inability of the selected polynomial basis to represent damage localization. An adaptive multi-domain technique is thus proposed to circumvent such issues, which has been successfully validated by benchmark tests. Eventually, original results about variable angle tow plates featuring damage evolution under progressive loading are presented.
AB - In this work, an adaptive Ritz model for the analysis of variable angle tow composite plates featuring damage initiation and evolution under progressive loading is proposed, developed, implemented and tested. The plate kinematics is represented employing a first-order shear deformation theory, while the plate equilibrium equations at a given load step are obtained by minimizing the structure potential energy. The constitutive behaviour is modelled within the framework of continuum damage mechanics. In particular the initiation and evolution of damage, up to failure, are tracked by defining irreversible damage indices related to both fibres and matrix, both in tensile or compression loading. The discrete equations are then obtained by assuming a polynomial Ritz approximation of the primary kinematic variables in the energy minimization. Preliminary tests show how the application of the method as a single-domain approach induces the emergence of problematic spurious effects, related to Gibbs artefacts due to the inability of the selected polynomial basis to represent damage localization. An adaptive multi-domain technique is thus proposed to circumvent such issues, which has been successfully validated by benchmark tests. Eventually, original results about variable angle tow plates featuring damage evolution under progressive loading are presented.
KW - Computational modelling
KW - Continuum damage mechanics
KW - Progressive damage modelling
KW - Ritz method
KW - Variable angle tow composites
UR - http://www.scopus.com/inward/record.url?scp=85182738352&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2024.117915
DO - 10.1016/j.compstruct.2024.117915
M3 - Article
AN - SCOPUS:85182738352
SN - 0263-8223
VL - 331
JO - Composite Structures
JF - Composite Structures
M1 - 117915
ER -