ACME 2011 Proceedings of the 19 UK National Conference of the ...

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ACME 2011 Proceedings of the 19 th UK National Conference of the Association for Computational Mechanics in Engineering 5 – 6 April 2011 Heriot-Watt University Edinburgh EXTENDED ABSTRACTS Edited by O. Laghrouche A. El Kacimi P. Woodward G. Medero ISBN 978-0-9565951-1-9 Heriot-Watt University
Page 1: ACME 2011 Proceedings of the 19 th
Page 5: PREFACE These Proceedings contain m
Page 8 and 9: MATERIAL PLASTIC PROPERTIES CHARACT
Page 10 and 11: PERMEABILITY ASSESSMENT OF HETEROGE
Page 13 and 14: Proceedings of the 19 th UK Confere
Page 15 and 16: horizontal confining pressure is ma
Page 17 and 18: Numerical example The numerical mod
Page 19: Conclusions The paper highlights th
Page 22 and 23: ( , t) t v = Dx Dt = ∂x X ∂ but
Page 24 and 25: where i Σ is the boundary for phas
Page 26 and 27: equilibration of heat and momentum
Page 28 and 29: (a) Molecular dynamics simulation o
Page 30 and 31: Figure 1: Proposed methodology for
Page 32 and 33: 4 CONCLUSIONS The following conclus
Page 34 and 35: Slicer [3]; 3D Slicer allows the re
Page 36 and 37: pressures of 14 MPa; both models ag
Page 38 and 39: 2 MODEL In an effort to keep an acc
Page 40 and 41: 3.2 Twisting test In order to verif
Page 42 and 43: discontinuities are permitted to sh
Page 44 and 45: Pressure, P (mmHg) Flow Rate, Q (L/
Page 46 and 47: where and where a Kelvin unit is ch
Page 48 and 49: Displacements are then back-transfo
Page 50 and 51: 2 DLO FORMULATION A basic explanati
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(a) opaque discontinuities (b) tran
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ates, such as off the coast of Nort
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e identified. σ ′ v (not shown)
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y = n F( X , f ( X ), a j ) + a0 (1
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Figure 3. Parametric study results
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where ˙ε p γ = tr � [ ˙γ p ]
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Under continued plastic shearing wi
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exemplified on a case study problem
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Figure 1: Distribution of magnitide
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capabilities of the EPR in extendin
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cyclic loading taking into account
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2 SMALL PUNCH BEAM TESTING TOOL DES
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Smaller values of the objective fun
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dependence of strength by delaying
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stress [MPa] 35 30 25 20 15 10 5 0
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loading and investigated the effect
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References [1] P.A. Timler, and G.A
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Homogenization, ��
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Acknowledgements force 0.25 0.2 0.1
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a given solution space with additio
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(a) (b) (c) (d) (e) Figure 1: L-sha
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where r0 is average radius. The sec
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perform the simulation using an exp
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Proceedings of the 19 th UK Confere
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y adding the finite element shape f
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Additional CPU time (%) EDissi ωC
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2 CZM FORMULATION AND NUMERICAL RES
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which indicates that some aspects o
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where coefficient γ m is associate
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3. NUMERICAL EXAMPLE A numerical ex
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The Eshelby inclusion solution and
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xx-stress/fc 1.2 1 0.8 0.6 0.4 0.2
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Code_Aster [8] but brief details ar
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Crack length (mm) 18.7 18.5 18.3 18
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where σ = {σn,σs,σφ} T is the
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(a) load [kN] 12 10 8 6 4 2 Experim
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the fact that despite the time we g
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Acknowledgements The authors thank
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1 METHODOLOGY 1.1 The scaled bounda
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(a) t=0ms (76 subdomains & 272 node
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I problem. 2 COHESIVE ZONE FORMULAT
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Figure 3: Traction vs. Displacement
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zone over which micro-cracks are as
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Figure 3. FE prediction versus test
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half-space for the simulation of th
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Figure 5: Displacement magnitude: (
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g2 = (dF a1 − dF a2) 2 = (N 1 2
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(c) TSR study with wave motion and
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can be introduced where high order
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Y-Coordinate 1 0 -1 -2 -3 0 1 2 3 4
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2 ELASTICITY WITH MICRO-INERTIA In
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Conversely, the eigenvalue problem
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III tunnel pile or barrier raft fou
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shown in Figure 4 are in very good
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which is well developed and widely
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Figure 3: (a) A 2D cantilever beam
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�� Δ� = � �� ,
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Numerical example A 3D steel frame
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desired value; in this way, the cri
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Element type Mass matrix tunstable
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2 MIXED FORMULATION The work presen
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References Figure 3: Results for Co
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variables between material and mesh
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pressure fluctuations can be found
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energy and the work done at time i
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(a) nelement = 50, ∆t = 4e-3 (b)
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2 THEORY Figure 2 - Incident P-wave
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incident S-wave [1] . For an incide
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Figure 1: Dispersion in porous medi
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Figure 5: The general scheme for th
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Figure 1 - The Lattice Site The sta
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The second test case which was expl
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2 ∂ ~ ν ∂ ~ ν ~ ~ ~ ~ ~ 1 ⎡
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Figure 1. Reynolds shear stress pro
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Figure 2.1: Arbitrary Lagrangian Eu
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4 RESULTS As example applications o
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Monaghan [10]. The coupled finite e
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algorithm initiates the dynamic str
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Figure 3. Comparison of streamwise
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3 Validation In order to establish
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number. When the relationship is us
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Figure 1: (a) Translational and rot
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ThermalCorrotTruss + setDomain (the
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The mesh studies for the leg showed
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Class name Member function Data mem
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(Young’s Modulus E = 10GPa, area
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DAMAGE-BASED FRACTURE ANALYSIS FOR
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The discrete properties such as the
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Natural Frequency 19.75 19.7 19.65
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Algorithm 1 The projected quasi-New
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Fpt L Fpt L d t = , d m = (1) E A E
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2 SPRCX For a 2D problem the recove
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minimum sine 2 min area-length Meas
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ecalculated before re-analysis and
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Requiring rotational symmetry for t
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3 RESULTS In order to highlight the
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assumed to be governed by the regul
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φ 1 0.8 0.6 0.4 0.2 0 −0.2 FEM E
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a) All continuous element b) All di
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(a) B-spline curve with associate c
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5 CONCLUSION This paper has outline
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Fig.1 Quarter infinite plate with h
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