Finite Element Modeling

This chapter primarily conducted the finite element analysis of the dynamic response of soil around the tunnel under dynamic load induced by the subway train; the main work and conclusions are summarized as below: 1. This chapter analyzed the mechanism of the generation of dynamic load induced by subway train and simulated it by programming in ANSYS. 2. According to the field investigation and data from the boreholes, we developed a 3D finite element numerical model by inputting the relevant data. 3. For obtaining accurate results without too large computational domain, artificial boundary was applied to simulate the soil body in the discretization of this model. 4. The dynamic response of the soil in the model was consistent to the data obtained from the field test. And the results were proved effective and reliable. 5. According to the calculation results, σ z ′ propagates further in vertical direction, while σ x ′ propagates further in the horizontal direction. Furthermore, the influence range of the dynamic load was determined by this model.

[1]  Sung-San Cho,et al.  Finite element modeling of adhesive contact using molecular potential , 2004 .

[2]  Brian J. Briscoe,et al.  The internal form of compacted ceramic components: a comparison of a finite element modelling with experiment , 1996 .

[3]  S. Kamamoto,et al.  Analysis of residual stress and distortion resulting from quenching in large low-alloy steel shafts , 1985 .

[4]  O. C. Zienkiewicz,et al.  The Finite Element Method: Its Basis and Fundamentals , 2005 .

[5]  Chuan-Yu Wu,et al.  Finite element analysis of particle impact problems , 2001 .

[6]  O. Coube,et al.  Numerical simulation of metal powder die compaction with special consideration of cracking , 2000 .

[7]  X. Lei.  Taking the Eco-Pulse of a Giant , 1998, Science.

[8]  Liang Bo,et al.  Dynamic Analysis on Subgrade of High Speed Railways in Geometric Irregular Condition , 1999 .

[9]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[10]  P. M. Dixit,et al.  A study on residual stresses in rolling , 1997 .

[11]  M. Petyt,et al.  Introduction to Finite Element Vibration Analysis , 2016 .

[12]  Antonios Zavaliangos,et al.  Simulation of multi-axial compaction of granular media from loose to high relative densities , 2005 .

[13]  Didier Imbault,et al.  Modeling of high-density compaction of granular materials by the Discrete Element Method , 2009 .

[14]  Roger A. Sauer,et al.  An atomic interaction-based continuum model for adhesive contact mechanics , 2007 .

[15]  Peter Wriggers,et al.  Formulation and analysis of a three-dimensional finite element implementation for adhesive contact at the nanoscale , 2009 .

[16]  Thambirajah Balendra,et al.  Dynamic response of buildings due to trains in underground tunnels , 1991 .

[17]  Göran Frenning,et al.  Compression mechanics of granule beds : A combined finite/discrete element study , 2010 .

[18]  I. C. Sinka,et al.  Analysis of tablet compaction. I. Characterization of mechanical behavior of powder and powder/tooling friction. , 2004, Journal of pharmaceutical sciences.

[19]  Didier Imbault,et al.  The study of relations between loading history and yield surfaces in powder materials using discrete finite element simulations , 2012 .

[20]  S. H. Lo,et al.  Finite element implementation , 1996 .

[21]  Ömer Necati Cora,et al.  Numerical modeling of cold powder compaction using multi particle and continuum media approaches , 2015 .

[22]  Chen Jian-qiu.  In Situ Experiment and Analysis of Environmental Vibration Induced by Urban Subway Transit , 2006 .

[23]  William Weaver,et al.  Structural dynamics by finite elements , 1987 .

[24]  F. Dimaggio,et al.  MATERIAL MODEL FOR GRANULAR SOILS , 1971 .

[25]  Lianghao Han,et al.  A modified Drucker-Prager Cap model for die compaction simulation of pharmaceutical powders , 2008 .

[26]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[27]  Gustaf Gustafsson,et al.  Multi-particle finite element modelling of the compression of iron ore pellets with statistically distributed geometric and material data , 2013 .

[28]  R. J. Green,et al.  A plasticity theory for porous solids , 1972 .

[29]  Katsutoshi Yamada.  TRANSIENT THERMAL STRESSES IN AN INFINITE PLATE WITH TWO ELLIPTIC HOLES , 1988 .

[30]  A. Curnier,et al.  A finite element method for a class of contact-impact problems , 1976 .

[31]  Zhengzhi Wang,et al.  Adhesive behaviour of gecko-inspired nanofibrillar arrays: combination of experiments and finite element modelling , 2012 .

[32]  Jing Zhang,et al.  A study of compaction of composite particles by multi-particle finite element method , 2009 .

[33]  S. Jahanian.  Residual and thermoelastoplastic stress distributions in a heat treated solid cylinder , 1995 .

[34]  D. Train.  Transmission forces through a powder mass during the process of pelleting , 1957 .

[35]  Z. Zhong.  Finite Element Procedures for Contact-Impact Problems , 1993 .

[36]  Maurice Petyt,et al.  Introduction to finite element vibration analysis , 1990 .

[37]  Göran Frenning,et al.  An efficient finite/discrete element procedure for simulating compression of 3D particle assemblies , 2008 .

[38]  Luo Yan-yun.  Influence of Track State on Vertical Wheel/Track Dynamic Overloads , 1999 .

[39]  I. C. Sinka,et al.  Constitutive Model Calibration for Powder Compaction Using Instrumented Die Testing , 2012 .

[40]  Hyoung-Seop Kim,et al.  Densification Modelling for Nanocrystalline Metallic Powders , 2003 .

[41]  Lars Vabbersgaard Andersen,et al.  Coupled Boundary and Finite Element Analysis of Vibration from Railway Tunnels: a comparison of two- and three-dimensional models , 2006 .

[42]  Ben Young,et al.  Design of cold-formed steel oval hollow section columns , 2012 .

[43]  Yongcong. Ding.  Residual stresses in hot-rolled solid round steel bars and their effect on the compressive resistance of members. , 2000 .

[44]  Pierre Tchoreloff,et al.  Modelling the compaction behaviour of powders: application to pharmaceutical powders , 2002 .

[45]  Roland W. Lewis,et al.  A combined finite‐discrete element method for simulating pharmaceutical powder tableting , 2005 .

[46]  N. Zhang,et al.  Experimental study of train-induced vibrations of environments and buildings , 2005 .

[47]  Roland W. Lewis,et al.  Powder compaction modelling via the discrete and finite element method , 2000 .

[48]  Shizhu Wen,et al.  Finite Element Modeling of the Nano-scale Adhesive Contact and the Geometry-based Pull-off Force , 2011 .

[49]  Bruno C. Hancock,et al.  Modelling the mechanical behaviour of pharmaceutical powders during compaction , 2005 .

[50]  Xi-Qiao Feng,et al.  Numerical simulations of the normal impact of adhesive microparticles with a rigid substrate , 2009 .

[51]  K. Yin,et al.  Effect of the addition of Al-Ti-C master alloy on the microstructure and microhardness of a cast Al-10Mg alloy , 2006 .

[52]  R. G. Whirley,et al.  DYNA2D: A nonlinear, explicit, two-dimensional finite element code for solid mechanics: User manual , 1992 .

[53]  Yuan Fa-rang,et al.  Transient-temperature and residual-stress fields in axisymmetric metal components after hardening , 1985 .

[54]  Y. K. Cheung,et al.  Finite Element Methods in Dynamics , 1992 .

[55]  I. C. Sinka,et al.  The effect of wall friction in the compaction of pharmaceutical tablets with curved faces: a validation study of the Drucker–Prager Cap model , 2003 .

[56]  Hui Fan,et al.  Elastic analysis for liquid-bridging induced contact , 2004 .

[57]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .