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SYMPOSIUM 4-10 Failure and Fracture of Heterogeneous and Multilayer Materials ORGANIZERS: Pranav Shrotriya, Iowa State University Ashraf Bastawros, Iowa State University Society of Engineering Science ▪ 47 th Annual Technical Meeting 372
Nonlocal Boundary Layer Method for Overcoming Boundary Condition Ambiguity in Nonlocal and Statistical Models of Quasibrittle Structures Christian Hoover Northwestern University, 2145 Sheridan Road, Technological Institute Suite A123, Evanston, 60208, US Phone: 1-847-491-4025, Email: ChristianHoover2010@u.northwestern.edu Jialiang Le Northwestern University, Evanston, IL Zdenek P. Bazant Northwestern University, Evanston, IL Abstract: The nonlocal models used in computational analysis for regularization of the boundary value problems of softening damage are still hampered by unresolved issues in the treatment of boundary conditions. The existing models are non-physical and treat the protrusion of the domain of the nonlocal weighting function beyond the structure boundary differently. For example, the protruding part is deleted while the interior part is either rescaled, or enhanced by a Dirac delta peak at the structure boundary or at the centroid of the domain. The boundary conditions are also unclear for gradient models. Various models can yield very different results. A more physical approach to the numerical treatment of the boundaries, inspired by the weakest-link statistical size effect on structural strength, is proposed. Its modeling requires the structure (of positive geometry) to be subdivided into elements roughly equal to the representative volume element (RVE) of material. The RVE is defined as the smallest material volume whose failure causes the entire structure to fail. In the proposed nonlocal boundary layer model (NBL), the structure is divided into two parts: an interior domain, and a boundary layer of a thickness equal to the RVE size, which approximately equals the fracture process zone width. In the boundary layer, the stress depends solely on the average strain over its thickness, which is approximately given by the continuum strain at the middle surface of the layer. In the interior domain, nonlocal averaging may be applied without modification because the nonlocal integral domain cannot protrude outside the structure boundary. Since statistically the structure is equivalent to the weakest link model, its survival probability 1 - Pf is the joint probability of survival of all the RVEs. The subdivision into RVEs is generally nonunique and for irregular geometries, exactly equal RVE sizes are impossible. This gives inconsistent estimates of failure probability Pf. One way to overcome the problem is to calculate the nonlocal stress in the joint probability expression by averaging the strains over the zone of influence using a weighting function. Five different methods of boundary treatment were used for comparing the size effect on structure strength: 1) calculating Pf based on the weakest-link model, 2) redistributing the protruding volume by placing it into a Dirac delta function at either the structure boundary or 3) at the center nonlocal domain, 4) uniformly rescaling the weighting function, 5) and the present NBL method. The last three methods were also used in and integral type formulation of deterministic nonlocal softening damage. These models were compared by simulating the size effect on the modulus of rupture due to crack initiation, which is a problem experimentally studied by Rocco (1995), and the size effect in the notched specimens of Bazant and Pfeiffer (1987). The NBL model and the implicit gradient model of Peerlings et al. were also compared by simulating the size effect tests of Rocco (1995). 373 ABSTRACTS
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Abstracts 1 ABSTRACTS
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Contents 4 Foreword 5 Welcome from
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Welcome From College of Engineering
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Roger Fosdick Department of Aerospa
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Invariants in Nonlinear Elasticity
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Coarse-Graining Atomistic Dynamics
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Fracture Behavior of Mechanophore-L
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Stability of periodic media under c
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Three Dimensional Compressible Mult
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Experimental and Modeling Study to
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Thermoresponsive Microcapsules for
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Shear Activation of Mechanophore-Li
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Room Temperature Healing of a Therm
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Collagen Fibrils: Multifunctional N
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Tianxiang Su Mechanical Engineering
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Understanding the Influence of Stra
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Thermodynamic Based Higher-Order Gr
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35 ABSTRACTS
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where is the heating rate. Derivati
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Oxidation and Hole Formation in Alu
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Effect of surface tension and energ
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A Computational Framework for Micro
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45 ABSTRACTS
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It has been suggested that air bubb
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Fig. 2. Melting temperature vs part
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Quantifying the Effect of Pulsatile
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Error analysis for 3-D shape measur
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To test the effects of the ultrasou
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Surface Coverage and Hybridization
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Track 1 Horner Symposia 59 ABSTRACT
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A 3D Pseudo-Elastic Model for Mulli
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Analytical Solutions for the Onset
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References [1] J. D. Humphrey. Nati
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Analysis of Stiffness Variations in
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Indentation of a Nonlinear Viscoela
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Linear Theory for the Bending and S
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Buckling and Finite Deformation of
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Remarks on the Infinitesimal Stabil
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finite characteristic dimensions, t
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On Mathematics in Ray Ogden's Contr
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Superposition of Finite-Amplitude S
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Stability of Electro Active Polymer
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Modelling of Electro-Viscoelasticit
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The Vibration Induced Dissipative H
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Arterial Modeling Considering the M
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A Two-Scale Collagen Turn-Over Mode
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Statistical Non-Linear Fibre-Reinfo
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A Model of Growth and Mass Transfer
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Reading the Mechanical Response of
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Fundamental Solution in Plane Aniso
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Simply Unreal: Grassmann Hypercompl
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Influence of Fiber Dissolution and
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On the electro-mechanical response
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On the Importance of Counterion Con
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Stewart Silling Sandia National Lab
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On the Modeling of Rheological Beha
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Acoustoelastic Measurement of Surfa
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Time permitting, we consider the Ta
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Effect of Nonlinearity on the Stead
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Is Step-Flow Epitaxy Ever Stable? M
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Entropy of a Constrained Hamiltonia
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The Volume Derivative and Fracture
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The Anomalous Behavior of Material
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Energy Release Rate of Dielectric M
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SYMPOSIUM 2-2 Cell Mechanics ORGANI
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study to show the highly three-dime
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Chemomechanics at the Cell-material
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Interplay between Cell and Matrix S
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A Coarse-Grain Molecular Dynamics M
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Contact Mechanics of Circular Membr
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Fibroblast Elongation, Dendritic Ex
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Applying Controlled Loads to Single
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An Overview of Vibro-Acoustography
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Fracture between Molecules Kenneth
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Investigation of Skull Hemorrhage a
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Uncovering Morphological and Morpho
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Microcantilever Based Aptameric Nan
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Fluid-Structure Interaction Models
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Anaylzing Range of Motion in Total
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Direct Measurement of Plastic Dissi
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The Influence of Screw Thread and T
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Static Evaluation of Shear Loading
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during 5000 test cycles, load drop
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Nanomechanics of Tropocollagen and
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Hip Implant Interfacial Motion, a F
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Mapping Tibial Surface Strains usin
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Bone Isotropy Characterization Unde
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Effects of Anthropometric Geometry
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On Stress Theory for Fractal Bodies
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The Kinetic Relation as a Pivotal P
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Creasing Instability in Soft Matter
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Inverse Stress Analysis in AAA Cons
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Experimental and Modeling Study to
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Material Analysis for the Developme
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Experimentally Verified Approach fo
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A Long-Pulse Kolsky Bar Technique f
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Active Porous Scaffolds for Control
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Sensor Behavior of Magneto-Rheologi
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Slipping Plane Plasticity using the
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Internal Fluctuation of DNA in Nano
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Carmel Majidi Harvard University, S
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Coupling of Localized Buckling Defo
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An Energy-Based Approach to Capture
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A Theory of Actuation of Ionic Poly
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Three-Dimensional Imaging of Crysta
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In-situ Reconstruction of Tip-sampl
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TRACK 3 Fluid Mechanics 213 ABSTRAC
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Alan Wineman Comments on the Career
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Numerical Solutions in Nonlinear Ma
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Mathematical Modeling of a New Clas
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Mixture Theory to Study Blood Flow
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Phase Field Theory for Phase Transf
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Nonlocal Gradient-Dependent Constit
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On Unsteady Non-homogenous Flows of
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Fluid Dynamics of the Deepwater Hor
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SYMPOSIUM 3-2 Dynamics and Rheology
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Modeling and Homogenization of Bact
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Dynamics of a Semi-flexible Polar F
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Dense Cellular Blood Flow in a Mode
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Drag, Diffusive Motion, and Mixing
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SYMPOSIUM 3-3 Experimental Fluid Me
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Population, Characteristics and Kin
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The Effect of Particle Concentratio
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A Hybrid Simulation of Continuum an
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An Experimental Study of Pulsed Mic
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SYMPOSIUM 3-5 Fluid Issues in Renew
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Influence of Cylinder Aspect Ratio
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Numerical Investigation of Aerodyna
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SYMPOSIUM 3-8 Multiphase Flow ORGAN
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Three Dimensional Compressible Mult
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Numerical Simulation of Gust Respon
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SYMPOSIUM 4-1 Nanomechanics: Beyond
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Nano Adhesion and Indentation Kenne
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Atomistic Mechanisms of Cyclic Hard
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Broadband Nanoindentation Spectrosc
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Importance of AFM Beam Dynamics for
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Quantitatively Exploring the Mechan
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Effect of Scales and high Temperatu
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Experimental and Model Developments
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Controlled Carbon Nanotube Junction
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Understanding the Influence of Stra
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Temperature and Strain Rate Sensiti
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The Influence of Chemical Substitut
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Non-Uniqueness in Energy Minimizati
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Coarse-Graining Atomistic Dynamics
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simulations will also be discussed,
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Dislocation Cores in Elastically An
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SYMPOSIUM 4-3 Strain Rate Effects i
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Dynamic-Tensile-Extrusion in Low Im
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Wave Profile Shaping for Shock-Tube
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SYMPOSIUM 4-4 Size Scale Effects in
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Atomistic and Continuum Understandi
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Physical Interpretation and Experim
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Tensile Ductility and Plasticity Me
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A New Nonlocal Shell Model for Axis
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Effect of Surface Roughness and Fun
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An Analysis of the Effects of Surfa
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A SEM Image-based Finite Element Ap
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SYMPOSIUM 4-5 Phase Transformations
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Modeling and Simulation of Strain-i
Page 321 and 322: Nanovoid Nucleation Inside Elastopl
Page 323 and 324: Molecular Dynamics Study of Thermal
Page 325 and 326: Effect of Surface Tension and Energ
Page 327 and 328: A bi-crystal Aggregate Model of Mar
Page 329 and 330: SYMPOSIUM 4-6 Multifunctional Compo
Page 331 and 332: Electrified Carbon Fiber Polymer Ma
Page 333 and 334: Thermal and Mechanical Properties o
Page 335 and 336: Carbon Nanotube Buckypaper Material
Page 337 and 338: Effective Parameters of Bucky Gel M
Page 339 and 340: Influence of Surface Roughness and
Page 341 and 342: Microvascular Networks for Thermal
Page 343 and 344: Henghua Jin University of Illinois
Page 345 and 346: A High Temperature Cured Structural
Page 347 and 348: Autonomic Structural Cooling via Ad
Page 349 and 350: Pressurized Vascular Systems for He
Page 351 and 352: Photovoltaic Waveguide Polymer Comp
Page 353 and 354: Effect of Silane Coupling Agent on
Page 355 and 356: Crushing Behavior of Composite Hexa
Page 357 and 358: Degradation Kinetics of Aerospace W
Page 359 and 360: Multiscale Modeling of Micro/nano S
Page 361 and 362: [1] Y.A. HUANG, Z. YIN, A. TESFAMIC
Page 363 and 364: Quantitative Nondestructive Evaluat
Page 365 and 366: A Multiscale Model of Rate Dependen
Page 367 and 368: Localization Analysis of Porous Met
Page 369 and 370: Negative Stiffness and Negative Poi
Page 371: Failure Surfaces for Fiber-Reinforc
Page 375 and 376: An Exact Solution for History-Depen
Page 377 and 378: Development of an Internal State Va
Page 379 and 380: A Study of Highly Crosslinked Epoxy
Page 381 and 382: Convergence and Scaling in Peridyna
Page 383 and 384: Graphene Fracture Kyug-Suk Kim Brow
Page 385 and 386: A Computational Framework for Micro
Page 387 and 388: Measurement of Mechanical Propertie
Page 389 and 390: The Role of Electrons in Nanostruct
Page 391 and 392: Thermoresponsive Microcapsules for
Page 393 and 394: Elastic Softening of Amorphous and
Page 395 and 396: Autonomic Restoration of Conductivi
Page 397 and 398: Response of Composite Structures to
Page 399 and 400: Lateral Vibration of a Travelling T
Page 401 and 402: Shear Activation of Mechanophore-Li
Page 403 and 404: Cooling Effects on the Vibronic Ban
Page 405 and 406: Dynamoic Damage Tolerance of Aerona
Page 407 and 408: SYMPOSIUM 4-13 Laser and Multi-Ener
Page 409 and 410: Ab initio Simulation of Photo-disso
Page 411 and 412: Laser Texturing of Polyimide for Al
Page 413 and 414: Surface Modification of Titanium Vi
Page 415 and 416: Coating Deposition via Insertion of
Page 417 and 418: Laser Resonant Vibrational Excitati
Page 419 and 420: Femtosecond Laser Fabrication of Ne
Page 421 and 422: Multi-fluid Model of Early-stage Fe
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Track 6 Nondestructive Evaluation o
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Developments in Testing and Health
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High Volume, Remote Sensing, Non-in
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Development and Application of Magn
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A Performance Measure for Ceramic A
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Probing Acoustic Nonlinearity using
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Ultrasonics of Periodic Structures
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Nanoscale Interfacial Probing of Ru
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Laser Ultrasonic Thermometry for In
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Physics-based Analysis of Infrared
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Acoustic Characteristics Measuremen
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