Simulation of crack propagation through voxel-based, heterogeneous structures based on eigenerosion and finite cells

by   Dennis Wingender, et al.

This paper presents an algorithm for the efficient simulation of ductile crack propagation through heterogeneous structures, as e.g. metallic microstructures, which are given as voxel data. These kinds of simulations are required for e.g., the numerical investigation of wear mechanisms at small length scales, which is still a challenging task in engineering. The basic idea of the proposed algorithm is to combine the advantages of the Finite Cell Method allowing for a convenient integration of heterogeneous finite element problems with the eigenerosion approach to still enable the mesh-independent simulation of crack propagation. The major component is to switch from finite subcells to finite elements wherever the crack progresses, thereby automatically adaptively refining at the crack tip by managing the newly appearing nodes as hanging nodes. Technically relevant problems of crack propagation at the microscale are mostly linked with sub-critical crack growth where the crack moves fast and stepwise with subsequent load cycles. Therefore, inertia may become important which is why dynamics are taken into account by spreading the mass of the eroded elements to the nodes to avoid a loss in mass resulting from the erosion procedure. Furthermore, a certain treatment for the finite cell decomposition is considered in order to ensure efficiency and accuracy. The numerical framework as well as the voxel decomposition techniques are analyzed in detail in different three-dimensional numerical examples to show the performance of the proposed approach.


Lamination-based efficient treatment of weak discontinuities for non-conforming finite element meshes

When modelling discontinuities (interfaces) using the finite element met...

A second order finite element method with mass lumping for wave equations in H(div)

We consider the efficient numerical approximation of acoustic wave propa...

Error-estimate-based Adaptive Integration For Immersed Isogeometric Analysis

The Finite Cell Method (FCM) together with Isogeometric analysis (IGA) h...

Crack propagation simulation without crack tracking algorithm: embedded discontinuity formulation with incompatible modes

We show that for the simulation of crack propagation in quasi-brittle, t...

Wave analysis in one dimensional structures with a wavelet finite element model and precise integration method

Numerical simulation of ultrasonic wave propagation provides an efficien...

A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes

Typical areas of application of explicit dynamics are impact, crash test...

How we can control the crack to propagate along the specified path feasibly?

A controllable crack propagation (CCP) strategy is suggested. It is well...

Please sign up or login with your details

Forgot password? Click here to reset