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On the Energy of Dynamic Fractures
-
Kaiwen Xia
,
Cangli Liu
Published/Copyright:
April 20, 2012
Abstract
The validity of the constant propagation fracture energy postulation for dynamic fracture is discussed. As shown from existing direct and indirect experimental results, this assumption may not represent the physical reality. For spontaneous fractures, the fracture energy was shown to increase linearly with the crack length, and for dynamic fractures driven by known amplitude impulsive loading (generated by planar impact), the fracture energy was not a constant either. Despite of its phenomenogical origin, the Broberg’s theory developed for self-similar crack growth works well for both spontaneous fractures and dynamic fractures produced by well defined dynamic loading. In this theory, the fracture energy is not a constant. Furthermore, with given far-field loading or equivalent far-field loading, the crack speed is uniquely determined by a strength-like material parameter. This parameter is related to the cohesive strength as proposed by H. J. Gao for hyperelastic materials in the crack-tip process zone. It is proposed in this work that the strength-like parameter (or equivalently the constant fracture speed) is a better material parameter to describe the dynamic fracture propagation process for most dynamic fractures.
PACS®(2010): 62.20.mm
Received: 2011-10-14
Accepted: 2011-10-18
Published Online: 2012-4-20
Published in Print: 2012-4-1
©2012 by De Gruyter
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Articles in the same Issue
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- Effect of Aging Treatment on Dynamic Behavior of Mg-Gd-Y Alloy
- Effect of Aging Treatment on Dynamic Behavior of Mg-Gd-Y Alloy
- On the Energy of Dynamic Fractures
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- Frontmatter
- Effect of Aging Treatment on Dynamic Behavior of Mg-Gd-Y Alloy
- On the Energy of Dynamic Fractures
- Analysis of Thermoviscoplastic Effects on Dynamic Necking of Pure Copper Bars during Impact Tension
- Mechanism of High-velocity Projectile Penetration into Concrete
- A Spherical Cavity Expansion Penetration Model for Concrete Based on Hoek–Brown Strength Criterion
- Fabrication and Mechanical Properties of a Micro/Nanoscale Hybrid Composite
- Strain Rate Effects on the Interaction between an Eccentric Matrix Crack and a Circular Inclusion in Composites under Dynamic Loadings
- Multiscale Analysis of Particle Size-dependent Steady Compaction Waves in Granular Energetic Materials
- Numerical Simulation of Liquid-Fueled Detonations by an Eulerian–Lagrangian Model
- Effects of HMX Particle Size on the Shock Initiation of PBXC03 Explosive
- Investigation into the Spall Strength of Cast Iron
- Numerical Analysis of Shockwave Propagation in Urban Underpass
- Experimental Study on Dynamic Mechanical Properties of Amphibolites, Sericite-quartz Schist and Sandstone under Impact Loadings
Keywords for this article
Fracture energy;
self-similar fracture;
Broberg’s theory;
strength-like parameter
Articles in the same Issue
- Masthead
- Effect of Aging Treatment on Dynamic Behavior of Mg-Gd-Y Alloy
- Effect of Aging Treatment on Dynamic Behavior of Mg-Gd-Y Alloy
- On the Energy of Dynamic Fractures
- On the Energy of Dynamic Fractures
- Analysis of Thermoviscoplastic Effects on Dynamic Necking of Pure Copper Bars during Impact Tension
- Analysis of Thermoviscoplastic Effects on Dynamic Necking of Pure Copper Bars during Impact Tension
- Mechanism of High-velocity Projectile Penetration into Concrete
- Mechanism of High-velocity Projectile Penetration into Concrete
- A Spherical Cavity Expansion Penetration Model for Concrete Based on Hoek–Brown Strength Criterion
- A Spherical Cavity Expansion Penetration Model for Concrete Based on Hoek–Brown Strength Criterion
- Fabrication and Mechanical Properties of a Micro/Nanoscale Hybrid Composite
- Fabrication and Mechanical Properties of a Micro/Nanoscale Hybrid Composite
- Strain Rate Effects on the Interaction between an Eccentric Matrix Crack and a Circular Inclusion in Composites under Dynamic Loadings
- Multiscale Analysis of Particle Size-dependent Steady Compaction Waves in Granular Energetic Materials
- Multiscale Analysis of Particle Size-dependent Steady Compaction Waves in Granular Energetic Materials
- Numerical Simulation of Liquid-Fueled Detonations by an Eulerian–Lagrangian Model
- Numerical Simulation of Liquid-Fueled Detonations by an Eulerian–Lagrangian Model
- Effects of HMX Particle Size on the Shock Initiation of PBXC03 Explosive
- Effects of HMX Particle Size on the Shock Initiation of PBXC03 Explosive
- Investigation into the Spall Strength of Cast Iron
- Investigation into the Spall Strength of Cast Iron
- Numerical Analysis of Shockwave Propagation in Urban Underpass
- Numerical Analysis of Shockwave Propagation in Urban Underpass
- Experimental Study on Dynamic Mechanical Properties of Amphibolites, Sericite-quartz Schist and Sandstone under Impact Loadings
- Experimental Study on Dynamic Mechanical Properties of Amphibolites, Sericite-quartz Schist and Sandstone under Impact Loadings
- Frontmatter
- Effect of Aging Treatment on Dynamic Behavior of Mg-Gd-Y Alloy
- On the Energy of Dynamic Fractures
- Analysis of Thermoviscoplastic Effects on Dynamic Necking of Pure Copper Bars during Impact Tension
- Mechanism of High-velocity Projectile Penetration into Concrete
- A Spherical Cavity Expansion Penetration Model for Concrete Based on Hoek–Brown Strength Criterion
- Fabrication and Mechanical Properties of a Micro/Nanoscale Hybrid Composite
- Strain Rate Effects on the Interaction between an Eccentric Matrix Crack and a Circular Inclusion in Composites under Dynamic Loadings
- Multiscale Analysis of Particle Size-dependent Steady Compaction Waves in Granular Energetic Materials
- Numerical Simulation of Liquid-Fueled Detonations by an Eulerian–Lagrangian Model
- Effects of HMX Particle Size on the Shock Initiation of PBXC03 Explosive
- Investigation into the Spall Strength of Cast Iron
- Numerical Analysis of Shockwave Propagation in Urban Underpass
- Experimental Study on Dynamic Mechanical Properties of Amphibolites, Sericite-quartz Schist and Sandstone under Impact Loadings
