scholarly journals A Simplified Analytical Solution of Mechanical Responses of Soil Subjected to Repeated Impact Loading

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Futian Zhao ◽  
Jun Liu ◽  
Zhimin Xiao ◽  
Mingqing Liu ◽  
Yue Wang ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Dynamic Response ◽  
Hollow Cylinder ◽  
Impact Loading ◽  
Dynamic Stress ◽  
Mechanical Response ◽  
Impact Load ◽  
Projection Area ◽  
Response Model ◽  
Repeated Impact

A simplified dynamic response model is proposed based on the deformation and dynamic stress response characteristics of soil under impact loading. The foundation is divided into two distinct zones: a projection cylinder acting vertically under impact loading and a hollow cylinder outside the projection area. It is assumed that the ramming deformation of the projected cylinder under the vertical impact load is a quasi-static loading process under the maximum contact dynamic stress through the quasi-static method, and the settlement calculation without lateral deformation is given. It is assumed that the inner wall of the hollow cylinder is subjected to horizontal lateral pressure and the analytical solution of the horizontal dynamic stress considering the plastic deformation of soil is given. The simplified dynamic response model can reflect the mechanical response of soil under impulse train load well which can provide reference for similar projects.

An Analytical Solution for Dynamic Stress Intensity, Kd, under Impact Loading

2010 ◽  
Vol 452-453 ◽  
pp. 413-416
Author(s):  
A. Malekzadeh ◽  
Saeid Hadidi-Moud
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Analytical Solution ◽  
Impact Loading ◽  
Dynamic Stress ◽  
Research Work ◽  
Dynamic Stress Intensity Factor ◽  
Experimental Studies ◽  
Critical Stress Intensity Factor

Characterisation of failure of components subjected to impact fatigue has received much interest in recent years. Critical stress intensity factor, i.e. fracture toughness, is a characteristic parameter for fracture conditions. Evaluation of this parameter is therefore of primary importance in the study of structures containing cracks. Due to its significance numerous research work have been carried out to provide dynamic stress intensity descriptions under cyclic, impulse and impact loading conditions. These methods are mainly based on numerical analyses and / or experimental techniques led to a range of approximate models. This paper firstly provides a review of fatigue failure due to impact loading and explains the principles of impact mechanics concepts including impact loading, stress wave equation and resulting stress distributions. Then, based on available experimental studies on developing and propagating cracks under impact loading, suggests a simple model leading to an approximate analytical solution for determination of dynamic stress intensity factor, kd under high strain rate loading. Calculated values based on the suggested solution compare well with the experimental data.

scholarly journals Mechanical Response and Energy Dissipation Analysis of Heat-Treated Granite Under Repeated Impact Loading

2019 ◽  
Vol 59 (1) ◽  
pp. 275-296 ◽  
Author(s):  
Zhiliang Wang ◽  
Nuocheng Tian ◽  
Jianguo Wang ◽  
Shengqi Yang ◽  
Guang Liu
Keyword(s):  
Energy Dissipation ◽  
Impact Loading ◽  
Mechanical Response ◽  
Repeated Impact ◽  
Heat Treated

scholarly journals Mechanical Response of Typical Cement Concrete Pavements under Impact Loading

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Ding Fei ◽  
Yin Yan ◽  
Cai Liangcai ◽  
Tang Yaohong ◽  
Wang Xuancang
Keyword(s):  
Finite Element ◽  
Impact Loading ◽  
Mechanical Response ◽  
Impact Load ◽  
Damage Model ◽  
Three Dimensional ◽  
Element Model ◽  
Concrete Pavements ◽  
Cement Concrete ◽  
Concrete Damage

In order to study the mechanical response of cement concrete pavements under impact loading, four types of typical cement concrete pavement structures are investigated experimentally and numerically under an impact load. Full-scale three-dimensional pavement slots are tested under an impact load and are monitored for the mechanical characteristics including the deflection of the pavement surface layer, the strain distribution at the bottom of the slab, and the plastic damage and cracking under the dynamic impact load. Numerical analysis is performed by developing a three-dimensional finite element model and by utilizing a cement concrete damage model. The results show that the calculation results based on the cement concrete damage model are in reasonable agreement with the experimental results based on the three-dimensional test slot experiment. The peak values of stress and strain as monitored by the sensors are analyzed and compared with the numerical results, indicating that the errors of numerical results from the proposed model are mostly within 10%. The rationality of the finite element model is verified, and the model is expected to be a suitable reference for the analysis and design of cement concrete pavements.

Vertical Dynamic Response of a Concrete Filled Steel Tube due to Transient Impact Load: Analytical Solution

2016 ◽  
Vol 16 (01) ◽  
pp. 1640014 ◽  
Author(s):  
Xuanming Ding ◽  
Yuming Fan ◽  
Ping Li ◽  
Gangqiang Kong
Keyword(s):  
Analytical Solution ◽  
Dynamic Response ◽  
Wave Equations ◽  
Impact Load ◽  
Separation Of Variables ◽  
Three Dimensional ◽  
Vertical Displacement ◽  
Steel Tube ◽  
Concrete Filled Steel Tube ◽  
The Impact

This paper presents an analytical solution of vertical dynamic response of a concrete-filled steel tube (CFST) due to transient impact loading. Both the concrete and steel are modeled by linear elastic material. The impact load is simulated by a semisinusoidal impulse. Three-dimensional (3D) wave equations those considering the vertical displacement are established. By combining the initial and boundary conditions, the frequency-domain analytical solution of displacement is deduced by Laplace transformation and separation of variables methods. The time-domain dynamic response is then obtained by numerical inverse Fourier transformation (IFT). Numerical examples are presented to verify the validity of the analytical solution developed in this study. The results indicate that the analytical solution proposed in this study shows good consistence with the existing solutions.

Numerical Studies on Cumulative Damage of RC Members under Repeated Impact Loading

2011 ◽  
Vol 82 ◽  
pp. 320-325 ◽  
Author(s):  
Hiroki Tamai ◽  
Yoshimi Sonoda
Keyword(s):  
Numerical Investigation ◽  
Impact Loading ◽  
Damage Mechanics ◽  
Impact Load ◽  
Continuum Damage Mechanics ◽  
Cumulative Damage ◽  
Rc Beam ◽  
Repeated Impact ◽  
Impact Behaviour ◽  
The Impact

We have tried to develop the simple FE analysis method based on continuum damage mechanics to quantitatively evaluate the impact behaviour and the cumulative damage of RC beam under repeated impact loading. As a result, it has been found that the cumulative damage and residual displacement of RC beam under repeated impact load can be properly evaluated, but the crack propagation cannot be evaluated by using the proposed method. This paper presents the following matters: (1) Numerical investigation on the impact behaviour and cumulative damage of RC beam under repeated impact loading by using the proposed method. (2) Numerical investigation of the relationship between cumulative kinetic energy of repeated impact loading and cumulative damage of RC members. (3) Investigation on improved points of our existing proposed method to evaluate the crack path of RC member under repeated impact.

Composite material components damaged by impact loading: a methodology for the assessment of their residual elastic properties

2018 ◽  
Vol 1 (87) ◽  
pp. 18-24
Author(s):  
G. Belingardi ◽  
M.P. Cavatorta ◽  
D.S. Paolino
Keyword(s):  
Composite Material ◽  
Elastic Properties ◽  
Impact Loading ◽  
Composite Laminate ◽  
Impact Load ◽  
Damage Index ◽  
Composite Plates ◽  
Main Concern ◽  
Repeated Impact ◽  
The Impact

Purpose: Detection and evaluation of damage due to impact or fatigue loading in components made by composite materials is one of the main concern for automotive engineers. We focus on damage due to impact loading on long fibre, plastic matrix composite, as they represent one of the most interesting development solution for automotive components toward lightweight structure that in turn means reduction of fuel consumption and of Green House Gas emissions. Design/methodology/approach: An innovative simplified methodology is proposed, based on the impact and repeated impact behaviour of composite material, for the evaluation of the induced damage and of material residual elastic properties. The investigated composite laminate is made of eight twill-wave carbon fabrics impregnated with epoxy resin. The methodology consists of two phases: at first the identification of the impact response. Composite plates have been impacted at different energy levels and residual elastic properties measured through standard tensile tests. The relationship between impact energy and residual elastic properties is obtained. Then the exploration impact load is identified, large enough to give a well-defined picture of the suffered damage but soft enough to do not induce further damage in the composite laminate. Findings: This exploration impact test and the Damage Index (DI) value, as interpretation key, leads to a prediction of the local residual elastic properties in the damaged area. The proposed methodology has been validated on plate specimens. A strict correlation is found between the predicted and the actual residual elastic properties of the damaged composite plate. Practical implications: Subsequently it has been applied to a composite beam, with a omega shape transverse section, that can be considered as a demonstrator for a typical beam used in the car body frame. Originality/value: A selection on the following alternatives will be possible: a – don’t care the damage is not affecting the structure performance; b – repair is needed but will be sufficient; c – substitute the damaged component as soon as possible.

scholarly journals High-strain-rate mechanical response of HTPE propellant under SHPB impact loading

AIP Advances ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 035145
Author(s):  
Heng-ning Zhang ◽  
Hai Chang ◽  
Jun-qiang Li ◽  
Xiao-jiang Li ◽  
Han Wang
Keyword(s):  
High Strain Rate ◽  
Strain Rate ◽  
Impact Loading ◽  
Mechanical Response ◽  
High Strain

An analytical solution of a two-dimensional temperature field in a hollow cylinder under a time periodic boundary condition using Fourier series

2009 ◽  
Vol 223 (8) ◽  
pp. 1889-1901 ◽  
Author(s):  
G Atefi ◽  
M A Abdous ◽  
A Ganjehkaviri ◽  
N Moalemi
Keyword(s):  
Boundary Condition ◽  
Temperature Field ◽  
Fourier Series ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Hollow Cylinder ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Separation Of Variables ◽  
Two Dimensional

The objective of this article is to derive an analytical solution for a two-dimensional temperature field in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface, while the inner surface is insulated. The material is assumed to be homogeneous and isotropic with time-independent thermal properties. Because of the time-dependent term in the boundary condition, Duhamel's theorem is used to solve the problem for a periodic boundary condition. The periodic boundary condition is decomposed using the Fourier series. This condition is simulated with harmonic oscillation; however, there are some differences with the real situation. To solve this problem, first of all the boundary condition is assumed to be steady. By applying the method of separation of variables, the temperature distribution in a hollow cylinder can be obtained. Then, the boundary condition is assumed to be transient. In both these cases, the solutions are separately calculated. By using Duhamel's theorem, the temperature distribution field in a hollow cylinder is obtained. The final result is plotted with respect to the Biot and Fourier numbers. There is good agreement between the results of the proposed method and those reported by others for this geometry under a simple harmonic boundary condition.

Dynamic response of cylindrical cavity to anti-plane impact load by using analytical approach

2014 ◽  
Vol 21 (1) ◽  
pp. 405-415 ◽  
Author(s):  
Chao-jiao Zhai ◽  
Tang-dai Xia ◽  
Guo-qing Du ◽  
Zhi Ding
Keyword(s):  
Dynamic Response ◽  
Cylindrical Cavity ◽  
Analytical Approach ◽  
Impact Load
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