Three‐dimensional analytical continuum model for axially loaded noncircular piles in multilayered elastic soil

2021 ◽  
Author(s):  
Xiancheng Li ◽  
Hang Zhou ◽  
Hanlong Liu ◽  
Zhixiong Chen
Keyword(s):  
Continuum Model ◽  
Three Dimensional ◽  
Axially Loaded ◽  
Elastic Soil

scholarly journals Discrete-to-continuum modelling of weakly interacting incommensurate two-dimensional lattices

2018 ◽  
Vol 474 (2209) ◽  
pp. 20170612 ◽  
Author(s):  
Malena I. Español ◽  
Dmitry Golovaty ◽  
J. Patrick Wilber
Keyword(s):  
Continuum Model ◽  
Domain Walls ◽  
Three Dimensional ◽  
Variational Model ◽  
Dimensional System ◽  
Two Dimensional ◽  
Starting Point ◽  
Continuum Modelling ◽  
Three Dimensional System ◽  
The Continuum

In this paper, we derive a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The starting point is a discrete atomistic model for the two lattices which are assumed to have slightly different lattice parameters and, possibly, a small relative rotation. This is a prototypical example of a three-dimensional system consisting of a graphene sheet suspended over a substrate. We use a discrete-to-continuum procedure to obtain the continuum model which recovers both qualitatively and quantitatively the behaviour observed in the corresponding discrete model. The continuum model predicts that the deformable lattice develops a network of domain walls characterized by large shearing, stretching and bending deformation that accommodates the misalignment and/or mismatch between the deformable and rigid lattices. Two integer-valued parameters, which can be identified with the components of a Burgers vector, describe the mismatch between the lattices and determine the geometry and the details of the deformation associated with the domain walls.

Three Dimensional Cosserat Continuum Model and its Application to Analysis for the Cantilever Beam

2011 ◽  
Vol 117-119 ◽  
pp. 438-442
Author(s):  
Hong Xiang Tang ◽  
Zhao Long Hu
Keyword(s):  
Cantilever Beam ◽  
Continuum Model ◽  
Three Dimensional ◽  
Continuum Theory ◽  
Intrinsic Property ◽  
Cosserat Continuum ◽  
Internal Length ◽  
Cosserat Continuum Theory ◽  
Finite Element Formulations ◽  
Cosserat Continuum Model

A basic 3D Cosserat continuum theory and corresponding finite element formulations are deduced. The deflections of a cantilever beam are analyzed by the 20-nodes solid elements based on the classical continuum theory and Cosserat continuum theory respectively. Compared with analytical solution brought forward by Timoshenko and Goodier, it illustrates that the numerical results based on Coseerat FEM are effective and more accurate and closer to the analytical solutions by choosing an appropriate value of the characteristic internal length, which also testifies the capability of reflecting the intrinsic property of the cantilever beam.

ATOMISTIC CAPACITANCE OF A NANOTUBE ELECTROMECHANICAL DEVICE

2002 ◽  
Vol 01 (03n04) ◽  
pp. 337-346 ◽  
Author(s):  
SLAVA V. ROTKIN ◽  
VAISHALI SHRIVASTAVA ◽  
KIRILL A. BULASHEVICH ◽  
N. R. ALURU
Keyword(s):  
Carbon Nanotube ◽  
Continuum Model ◽  
Three Dimensional ◽  
Quantum Capacitance ◽  
Compact Modeling ◽  
Quantum Mechanical ◽  
Single Wall Carbon Nanotube ◽  
Single Wall Carbon ◽  
Multi Scale ◽  
Electromechanical Device

An atomistic capacitance is derived for a single-wall carbon nanotube in a nano-electromechanical device. Multi-scale calculation is performed using a continuum model for the geometrical capacitance, and statistical and quantum mechanical approaches for the quantum capacitance of the nanotube. The geometrical part of the capacitance is studied in detail using full three-dimensional electrostatics. Results reported in this paper are useful for compact modeling of the electronic and electromechanical nanotube devices.

Three-dimensional effects in low-strain integrity testing of piles: analytical solution

2016 ◽  
Vol 53 (2) ◽  
pp. 225-235 ◽  
Author(s):  
Changjie Zheng ◽  
George P. Kouretzis ◽  
Xuanming Ding ◽  
Hanlong Liu ◽  
Harry G. Poulos
Keyword(s):  
Impact Load ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Integrity Testing ◽  
Integrity Tests ◽  
The One ◽  
Propagation Of Waves ◽  
The Impact ◽  
Pile Integrity ◽  
Elastic Soil

The interpretation of low-strain integrity tests of piles is commonly based on methods developed around the one-dimensional wave propagation theory. In reality, waves resulting from the impact of a hammer on a pile head propagate in three dimensions, and the validity of the plane-front assumption is rather questionable for cases where the size of the hammer is small relative to that of the pile. This paper presents an analytical model of the dynamic response of a pile to an impact load on its head, considering propagation of waves in both vertical and radial directions. The proposed formulation applies to a pile of finite length embedded in multilayered elastic soil, and allows for considering both shape and material pile defects, by reducing locally the radius of the pile cross section or the Young’s modulus of its material. Arithmetic examples are used to depict the effect of high-frequency interferences on the interpretation of pile integrity tests, which can only be accounted for in the three-dimensional formulation of the problem, and lead to practical suggestions for the interpretation of such tests.

A continuum model for fibre-reinforced plastic materials

1967 ◽  
Vol 301 (1467) ◽  
pp. 473-492 ◽  
Keyword(s):  
Experimental Data ◽  
Continuum Model ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Rigid Plastic ◽  
Fibre Direction ◽  
Preferred Direction ◽  
Principal Axes ◽  
Theoretical Predictions ◽  
General Continuum

A simple, general continuum model is proposed for describing the plastic behaviour of a composite material consisting of a metal matrix reinforced by strong fibres. The model is that of an incompressible rigid/plastic continuum which is transversely isotropic—the single preferred direction at any point, and at all times, being the fibre-direction at that point—and which is inextensible in the preferred direction. The principal axes of anisotropy are therefore explicitly determined by the deformation history. The kinematics and general three-dimensional theory for the material are developed and then applied to two cases of plane strain and one of plane stress. The latter is employed in the analysis of previously published experimental data on the yielding of thin fibre-reinforced sheets; good agreement is obtained between the theoretical predictions and the experimental data.

Finite Element Method Simulating the Pipeline Mechanical Response During Reel-Lay Installation

2013 ◽  
Author(s):  
Ali A. Dawood ◽  
S. Kenny
Keyword(s):  
Finite Element ◽  
Finite Element Modelling ◽  
Continuum Model ◽  
Mechanical Response ◽  
Three Dimensional ◽  
Bending Test ◽  
Four Point Bending ◽  
Physical Tests ◽  
Test Frame ◽  
Four Point Bending Test

Finite element modelling procedures to simulate the pipeline mechanical response during reel lay installation are calibrated from the available literature. A three-dimensional continuum model was developed to simulate the bending and straightening processes during reel lay installation and was compared with physical tests conducted within a bending rig and four-point bending test frame. A range of pipeline diameters, wall thicknesses, material grades and weld offsets are examined.

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