Dynamic Spherical Cavity Expansion of Strain-Hardening Materials

1991 ◽  
Vol 58 (1) ◽  
pp. 1-6 ◽  
Author(s):  
V. K. Luk ◽  
M. J. Forrestal ◽  
D. E. Amos
Keyword(s):  
Numerical Solution ◽  
Closed Form ◽  
Strain Hardening ◽  
Power Law ◽  
Spherical Cavity ◽  
Incompressible Material ◽  
Cavity Expansion ◽  
Closed Form Solutions ◽  
Spherical Cavities ◽  
Spherical Cavity Expansion

We developed models for the dynamic expansion of spherical cavities from zero initial radii for elastic-plastic, rate-independent materials with power-law strain hardening. The models considered the material as incompressible and compressible. For an incompressible material, we obtained closed-form solutions, whereas the compressible results required the numerical solution of differential equations. A comparison of the numerical results from both models showed the effect of compressibility.

Penetration of Strain-Hardening Targets With Rigid Spherical-Nose Rods

1991 ◽  
Vol 58 (1) ◽  
pp. 7-10 ◽  
Author(s):  
M. J. Forrestal ◽  
N. S. Brar ◽  
V. K. Luk
Keyword(s):  
Closed Form ◽  
Strain Hardening ◽  
Spherical Cavity ◽  
Cavity Expansion ◽  
Rigid Rods ◽  
Engineering Models ◽  
Spherical Nose ◽  
Spherical Cavity Expansion ◽  
Penetration Depths ◽  
Good Agreement

We developed engineering models that predict forces and penetration depth for long, rigid rods with spherical noses and rate-independent, strain-hardening targets. The spherical cavity expansion approximation simplified the target analysis, so we obtained closed-form penetration equations that showed the geometric and material scales. To verify our models, we conducted terminal-ballistic experiments with three projectile geometries made of maraging steel and 6061-T651 aluminum targets. The models predicted penetration depths that were in good agreement with the data for impact velocities between 0.3 and 1.0 km/s.

scholarly journals Analytical Solutions of Spherical Cavity Expansion Near a Slope due to Pile Installation

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Jingpei Li ◽  
Yaguo Zhang ◽  
Haibing Chen ◽  
Fayun Liang
Keyword(s):  
Free Boundary ◽  
Inclination Angle ◽  
Spherical Cavity ◽  
Theoretical Method ◽  
Cavity Expansion ◽  
Sloping Ground ◽  
Present Solution ◽  
Image Technique ◽  
Boussinesq Solution ◽  
Spherical Cavity Expansion

Based on the hypothesis that the penetration of a single pile can be simulated by a series of spherical cavity expansions, this paper presents an analytical solution of cavity expansion near the sloping ground. Compared with the cavity expansion in the half-space, the sloping free boundary has been taken into account as well as the horizontal free boundary. The sloping and horizontal free surfaces are considered by the introduction of a virtual image technique, the harmonic function, and the Boussinesq solution. The results show that the sloping free boundary and the variation of the inclination angle have pronounced influences on the distribution of the stress and displacement induced by the spherical cavity expansion. The present solution provides a simplified and realistic theoretical method to predict the soil behaviors around the spherical cavity near the sloping ground. The approach can also be used for the determination of the inclination angle of the slope according to the maximum permissible displacement.

An Investigation on the Grooved-Tapered Projectile Penetrating into the Concrete Targets

2014 ◽  
Vol 566 ◽  
pp. 359-364 ◽  
Author(s):  
Xin Xin Zhang ◽  
Hai Jun Wu ◽  
Feng Lei Huang ◽  
Ai Guo Pi ◽  
Xiu Fang Ma
Keyword(s):  
Experimental Data ◽  
Penetration Depth ◽  
Spherical Cavity ◽  
Initial Velocity ◽  
High Speed ◽  
Cavity Expansion ◽  
Round Hole ◽  
Low Speed ◽  
Concrete Materials ◽  
Spherical Cavity Expansion

Based on the dynamic spherical cavity expansion (SCE) theory of the concrete materials and the analysis of the experimental data, both the model of the petaling penetration with low speed and the model of the round hole penetration with high speed are constructed to describe the penetration of the grooved-tapered projectile in this paper. The penetration depth and the mass abrasion are calculated using the models, so are the change of the velocity and the acceleration of the projectile with the time in the stage of the low speed penetration. The results show for the grooved-tapered projectile penetrating the concrete, the error of the penetration depth and the mass abrasion between the theoretical value calculated using the petaling penetration model and the experimental data is less than 11%, when the initial velocity is lower than about 1000m/s. When the initial velocity is higher than about 1000m/s, the error of the penetration depth between the theoretical value calculated using the round hole penetration model and the experimental data is more than 20%, and the mass abrasion calculated is almost coincide with the experimental data. The research shows the models are suitable for the analysis of the grooved-tapered projectile penetrating the concrete target, and the grooved-tapered projectile is more valuable in the high speed penetration.

Dynamic spherical cavity expansion analysis of concrete using the Bingham liquid constitutive model

2018 ◽  
Vol 120 ◽  
pp. 110-117 ◽  
Author(s):  
Jie Wang ◽  
Haijun Wu ◽  
Xiaowei Feng ◽  
Aiguo Pi ◽  
Jinzhu Li ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Spherical Cavity ◽  
Cavity Expansion ◽  
Spherical Cavity Expansion
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