Engineering Mechanics ›› 2008, Vol. 25 ›› Issue (12): 19-024.

Previous Articles     Next Articles

THEORETICAL MODEL ON ELASTIC-PLASTIC GRANULE IMPACT

*HE Si-ming1,2 , WU Yong1,2 , LI Xin-po1,2   

  1. 1. Key laboratory of Mountain Hazards and Surface Process, Chinese Academy of Science, Sichuan, Chengdu 610041, China; 2. Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Sichuan, Chengdu 610041, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-12-25 Published:2008-12-25

Abstract: Base on the Hertz contact mechanics, assuming the materials as elastic-plastic hardening, and considering the adjustment and release of contact stress on the plastic contact region, a new granule elastic-plastic contact theory has been suggested. Then, the elastic-plastic impact among granules has been investigated under the material’s quasi-static hypothesis. At last a corresponding formula is given and compared with other models. The results have shown that the force-deformation relation locates between the curves following Hertz theory and Thornton theory according to new model. It also clearly shows the curve will approach closer to the Hertz solution when the hardening coefficient becomes higher and to the Thornton solution when hardening coefficient is lower, so the Thornton model is a special case of this model. In fact, the impact pressure predicted with the new model is far smaller than the Hertz elastic solution and more conformable to reality.

Key words: Hertz theory, elastoplastic contact, hardening material, Thornton model, impact

CLC Number: 

  • O313.4
[1] LI Lin-feng, MA Meng, LIU Wei-ning, DU Lin-lin. Analysis for the vibration reduction characteristics of steel spring floating slab tracks under different types of excitation [J]. Engineering Mechanics, 2018, 35(S1): 253-258.
[2] QIAN Lan-ping, LI Yi, LU Xin-zheng, YAN Wei-ming. Numerical investigation on residual bearing capacity of columns after collision of light weight vehicle [J]. Engineering Mechanics, 2018, 35(S1): 313-319.
[3] YUAN Yuan, CHENG Yu, ZHANG Jing. FRACTAL BASED ELASTOPLASTIC MECHANICS MODEL FOR CONTACT WITH ROUGH SURFACE AND ITS EXPERIMENTAL VERIFICATION [J]. Engineering Mechanics, 2018, 35(6): 209-221.
[4] LI Xiao-zhen, QIU Xiao-wei, LIU De-jun, QIN Yu. RESEARCH ON THE BASIC FREQUENCY LIMIT OF RAILWAY COMMON SPAN PRESTRESSED CONCRETE SIMPLY SUPPORTED BEAM WITH 400 km/h [J]. Engineering Mechanics, 2018, 35(5): 204-213.
[5] CHENG Xiao-wei, LI Yi, LU Xin-zheng, JI Xiao-dong. A SIMPLIFIED NUMERICAL MODEL OF VEHICLES THAT IMPACT SQUARE COLUMNS IN OBLIGUE DIRECTION [J]. Engineering Mechanics, 2018, 35(4): 176-185.
[6] BAI Fan, LIN Yuan-sheng, DAI Lu, LIU Yong, XIAO Qi. LEAK-BEFORE-BREAK ANALYSIS ON HIGH-TEMPERATURE AND HIGH-PRESSURE PIPELINES OF MARINE POWER PLANT [J]. Engineering Mechanics, 2018, 35(3): 242-248.
[7] YIN Guan-sheng, YAO Ru-yang, ZHAO Zhen-yu. STUDY ON OPTIMIZATION AND CONTROL PARAMETERS OF A CONCEPT MODEL OF HIGHWAY CRASH CUSHIONS [J]. Engineering Mechanics, 2017, 34(增刊): 220-226.
[8] XIE Nan, WU Tong, HU Hang, LI Hong-fei. TEST RESEARCH OF IMPACT LOAD FROM PUMP PIPE DURING CONCRETE PLACEMENT [J]. Engineering Mechanics, 2017, 34(增刊): 129-133.
[9] CHENG Zhen, FANG Qin, ZHANG Jin-hua, ZHANG Ya-dong. MESOSCOPIC METHODOLOGY FOR THE THREE-DIMENSIONAL MODELLING OF CLOSED-CELL METALLIC FOAM [J]. Engineering Mechanics, 2017, 34(8): 212-221.
[10] HU Bo, LI Guo-qiang. MODIFIED CALCULATION METHOD FOR MAXIMUM IMPACT FORCE BETWEEN TRUCK AND ANTI-RAM BOLLARD BASED ON CAMPBELL'S MODEL [J]. Engineering Mechanics, 2017, 34(7): 79-88,155.
[11] JIANG Meng, CHEN Wan-xiang, GUO Zhi-kun, ZOU Hui-hui, GU Juan. IMPACT BEHAVIORS AND ULTIMATE STRENGTHS OF RPC-FST AFTER EXPOSURE TO HIGH TEMPERATURE [J]. Engineering Mechanics, 2017, 34(5): 216-225.
[12] YAN Qiu-shi, SHAO Hui-fang, LI Liang. STUDY ON THE BEHAVIOR OF PRECAST REINFORCED CONCRETE BEAMS UNDER IMPACT LOADING [J]. Engineering Mechanics, 2017, 34(4): 196-205.
[13] WANG Huai-zhong. ANALYTICAL SOLUTION FOR STRESS WAVES OF HOLLOW CONCRETE FILLED STEEL TUBULAR PILES SUBJECTED TO AXIAL IMPACT [J]. Engineering Mechanics, 2017, 34(4): 101-107.
[14] LIU Shun, HUANG Sheng-hong, LI Qiu-sheng, CHEN Fu-bin. 3D NUMERICAL SIMULATION OF WIND-DRIVEN RAIN ON BRIDGE DECK SECTIONS BASED ON EULERIAN MULTIPHASE MODEL [J]. Engineering Mechanics, 2017, 34(4): 63-71.
[15] LI Qing-hua, ZHAO Xin, XU Shi-lang. IMPACT COMPRESSION PROPERTIES OF NANO-SIO2 MODIFIED ULTRA HIGH TOUGHNESS CEMENTITIOUS COMPOSITES USING A SPLIT HOPKINSON PRESSURE BAR [J]. Engineering Mechanics, 2017, 34(2): 85-93.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] YUAN Yuan;;XU Ying-qiang;LU Guo-zhi;ZHU Xian-fei. NUMERICAL METHOD FOR RESIDUAL STRESS OF GEAR IN SHAKEDOWN[J]. Engineering Mechanics, 2008, 25(10): 0 -211, .
[2] XING De-jin;LI Zhong-xian. FUZZY CONTROL OF STRUCTURES USING SMA SMART DAMPER[J]. Engineering Mechanics, 2008, 25(10): 0 -228, .
[3] ZHOU Xiao-ping;YANG Hai-qing;ZHANG Yong-xing. ELASTOPLASTIC ANALYSIS OF A FINITE PLATE WITH AN ECCENTRIC CRACK LOADED BY TWO PAIRS OF CONCENTRATED TENSILE FORCES[J]. Engineering Mechanics, 2008, 25(1): 0 -027 .
[4] GONG Yao-qing;BAO Shi-hua. A NEW METHOD FOR FREE VIBRATION ANALYSIS OF SPACE MEGA FRAME OF SUPER TALL BUILDINGS[J]. Engineering Mechanics, 2008, 25(10): 0 -140 .
[5] LIU Jin-xing;DENG Shou-chun;ZHANG Jing;LIANG Nai-gang. BEAM LATTICE MODELING FOR THE FRACTURE OF PARTICLE COMPOSITES[J]. Engineering Mechanics, 2008, 25(10): 0 -037 .
[6] LANG Feng-chao;XING Yong-ming;ZHU Jing. THE MECHANICAL PROPERTIES OF 316L STAINLESS STEEL AFTER SURFACE NANOSTRUCTURE TREATMENT USING NANOINDENTATION[J]. Engineering Mechanics, 2008, 25(10): 0 -071 .
[7] GUO Xiao-gang;;LIU Ren-huai;ZENG Na;JIN Xing. THE MODIFICATION ON SPACE CONFIGURATION OF FLEXIBLE PIPE BY THE SUB-STRUCTURE DISPLACEMENT ITERATION METHOD[J]. Engineering Mechanics, 2008, 25(10): 0 -032 .
[8] XING Jing-zhong;LIU Chun-tu. BUCKLING ANALYSIS OF SPANNING PIPE BURIED IN LINEAR ELASTIC SOIL[J]. Engineering Mechanics, 2008, 25(10): 0 -075 .
[9] LIU Xiang-qing;LIU Jing-bo. TIME HISTORY ANALYSIS OF ELASTO-PLASTIC SEISMIC RESPONSE OF A SUBWAY STATION STRUCTURE WITH ARCHED CROSS SECTION BASED ON FIBER MODEL[J]. Engineering Mechanics, 2008, 25(10): 0 -157 .
[10] HAO Qing-duo;WANG Yan-lei;HOU Ji-lin;OU Jin-ping;. EXPERIMENTAL STUDY ON BOND BEHAVIOR OF GFRP RIBBED REBARS[J]. Engineering Mechanics, 2008, 25(10): 0 -165, .