Analyzing the Problem of a Spherical Cavity Expansion in a Medium with Mohr-Coulomb-Tresca’s Plasticity Condition

2020 ◽  
pp. 67-87
Author(s):  
Vasiliy L. Кotov ◽  
Elena Yu. Linnik ◽  
Tatiana A. Sabaeva
Keyword(s):  
Spherical Cavity ◽  
Cavity Expansion ◽  
Plasticity Condition ◽  
Spherical Cavity Expansion

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.

Dynamic spherical cavity expansion analysis of rate-dependent concrete material with scale effect

2015 ◽  
Vol 84 ◽  
pp. 24-37 ◽  
Author(s):  
Jun Feng ◽  
Wenbin Li ◽  
Xiaoming Wang ◽  
Meili Song ◽  
Huaqing Ren ◽  
...  
Keyword(s):  
Scale Effect ◽  
Spherical Cavity ◽  
Cavity Expansion ◽  
Concrete Material ◽  
Rate Dependent ◽  
Spherical Cavity Expansion

Analysis on spherical cavity expansion in gradient elastic media

2020 ◽  
Vol 104 ◽  
pp. 103486
Author(s):  
Shuo Wang ◽  
Haoxiang Chen ◽  
Chengzhi Qi
Keyword(s):  
Spherical Cavity ◽  
Cavity Expansion ◽  
Elastic Media ◽  
Spherical Cavity Expansion

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

scholarly journals Spherical Cavity Expansion Approach for the Study of Rigid-Penetrator’s Impact Problems

2020 ◽  
Vol 1 (1) ◽  
pp. 20-46 ◽  
Author(s):  
Mario Buchely ◽  
Alejandro Marañon
Keyword(s):  
Literature Review ◽  
Numerical Simulations ◽  
Potential Application ◽  
Spherical Cavity ◽  
Dynamic Deformation ◽  
Cavity Expansion ◽  
Engineering Model ◽  
Deformation Processes ◽  
Impact Problems ◽  
Spherical Cavity Expansion

In recent years, Spherical Cavity Expansion (SCE) theory has been extensively utilized to model dynamic deformation processes related to indentation and penetration problems in many fields. In this review, the SCE theory is introduced by explaining the different mathematical features of this theory, its solution, and a potential application to model the penetration of a rigid penetrator into a deformable target. First, a chronologically literature review of the most common models used to study this kind of penetration problems is introduced, focusing on the SCE theory. Then, the engineering model of penetration is presented using the SCE approach. The model is then compared and validated with some FE numerical simulations and with previous penetration results. It is concluded that this engineering model based on the SCE theory can be utilized to predict the projectile deceleration and penetration depth into the semi-infinite and finite targets impacted by rigid penetrators.

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