Rock Mechanics and Rock Engineering

, Volume 48, Issue 4, pp 1573–1588 | Cite as

Fracture Toughness Effects in Geomaterial Solid Particle Erosion

Original Paper
First Online:
Received:
Accepted:

Abstract

Effects of fracture toughness on the impingement of geomaterials (rocks and cementitious composites) by quartz particles at velocities between 40 and 140 m/s are investigated experimentally and analytically. If schist is excluded, relative erosion (in g/g) reduces according to a reverse power function if fracture toughness increases. The power exponent depends on impingement velocity, and it varies between −0.64 and −1.33. Lateral cracking erosion models, developed for brittle materials, deliver too high values for relative material erosion. This discrepancy is partly attributed to stress rate effects. Effects of R-curve behavior seem to be marginal. An integral approach ER = K1 · ERP + (1 − K1) · ERL is introduced, which considers erosion due to plastic deformation and lateral cracking. A transition function \(K_{1} = f\left( {K_{\text{Ic}}^{12/4} /\sigma_{\text{C}}^{23/4} } \right)\) is suggested in order to classify geomaterials according to their response against solid particle impingement.

Keywords

Erosion Fracture toughness Geomaterials Impact 

List of symbols

b

Distribution shape parameter

c

Crack length

cI

Material parameter

D

Fracture toughness exponent

dP

Erodent particle diameter

EK

Kinetic energy erodent particle

EM

Young’s modulus target material

EP

Young’s modulus erodent material

ER

Relative erosion

HM

Hardness target material

k

Elastic parameter

K1

Erosion parameter

KIc

Fracture toughness target material

m

R-curve parameter

MM

Eroded target mass

MP

Erodent particle mass

\(\dot{M}_{\text{P}}\)

Erodent mass flow rate

n

Stress rate parameter

PC

Contact force

rB

Contact radius

rP

Particle radius

tE

Exposure time

tP

Contact time

vP

Erodent particle velocity

β

Indenter angle

χ

Transition parameter

ΓIc

Critical energy release rate

λ

Distribution scale parameter

νM

Poisson’s ratio target material

νP

Poisson’s ratio erodent material

ρP

Density erodent material

ρM

Density target material

\(\dot{\sigma }\)

Stress rate

σC

Compressive strength target material

σP

Contact stress

σY

Yield stress

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Copyright information

© Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Faculty of Georesources and Materials TechnologyAachen University of Technology (RWTH Aachen)HamburgGermany

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