Phase-field Fracture Modelling of Thin Monolithic and Laminated Glass Plates under Quasi-static Bending

by   Jaroslav Schmidt, et al.

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass plates, (ii) to assess the consequences of the dimensional reduction of the problem and mesh density and refinement, and (iii) to validate for quasi-static loading the time/temperature-dependent material properties we derived recently for two commonly used polymer foils made of Polyvinyl Butyral or Ethylene-Vinyl Acetate. As the nonlinear response prior to fracture, typical of the widely used Bourdin-Francfort-Marigo model, can lead to a significant overestimation of the response of thin plates under bending, the numerical study investigates two additional phase-field fracture models providing the linear elastic phase of the stress-strain diagram. The typical values of the critical fracture energy and tensile strength of glass lead to a phase-field length-scale parameter that is challenging to resolve in the numerical simulations. So, we show how to determine the fracture energy concerning the applied dimensional reduction and the value of the length-scale parameter relative to the thickness of the plate. The comparison shows that the phase-field models provide very good agreement with the measured stresses and resistance of laminated glass, despite the fact that only one/two cracks localised using the quasi-static analysis, whereas multiple cracks evolved during the experiment. It has also been observed that the stiffness and resistance of the partially fractured laminated glass can be well approximated using a 2D plane-stress model with initially predefined cracks, which provides a better estimation than the one-glass-layer limit.



There are no comments yet.


page 3

page 8

page 9

page 21

page 25

page 26

page 27

page 28


Nonlinear Strain-limiting Elasticity for Fracture Propagation with Phase-Field Approach

The conventional model governing the spread of fractures in elastic mate...

A phase field model for cohesive fracture in micropolar continua

While crack nucleation and propagation in the brittle or quasi-brittle r...

Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies

The phase-field model (PFM) represents the crack geometry in a diffusive...

Evaluation of mechanical and energy properties for the phase field modeling of failure

In recent years, various phase field models have been developed in varia...

A linear phase evolution model for reduction of temporal unwrapping and field estimation errors in multi-echo GRE

This article aims at developing a model based optimization for reduction...

A mechanism-based multi-trap phase field model for hydrogen assisted fracture

We present a new mechanistic, phase field-based formulation for predicti...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.