2134/9169
Simon Wang
Christopher Harvey
Liangliang Guan
Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces
2011
Loughborough University
Energy release rate
Mixed mode partitions
Orthogonal pure modes
2011-12-02 13:36:22
article
https://repository.lboro.ac.uk/articles/Partition_of_mixed_modes_in_double_cantilever_beams_with_non-rigid_elastic_interfaces/9224693
The authors’ existing mixed-mode partition theories for rigid interfaces are extended to non-rigid
cohesive interfaces for layered isotropic double cantilever beams. Within the context of Euler
beam theory, it is shown that the two sets of orthogonal pure modes coincide at the first set of
pure modes due to the absence of any crack tip stress singularity for a non-rigid interface. The
total energy release rate in a mixed mode is then partitioned using this first set of pure modes
without considering any ‘stealthy interaction’. Within the context of Timoshenko beam theory, it
is shown that the mode II component of energy release rate is the same as that in Euler beam
theory while the mode I component is different due to the through-thickness shear effect. Within
the context of 2D elasticity, a mixed-mode partition theory is developed using the two sets of
orthogonal pure modes from Euler beam theory with rigid interfaces and a powerful orthogonal
pure mode methodology. Numerical simulations are conducted to verify the theories.