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conductance in graphene have now become possible. Thus the findings of this work would advance efforts in further enhancing superior transport characteristics in graphene. Society of Engineering Science ▪ 47 th Annual Technical Meeting 32
Thermodynamic Based Higher-Order Gradient Plasticity Captures Size and Interfacial Effects at the Micron and Submicron Length Scales Masoud K. Darabia and Rashid K. Abu Al-Rubb Zachry Department of Civil Engineering, Texas A&M University College Station, TX 77843, USA amasouddrb@neo.tamu.edu, brabualrub@civil.tamu.edu Abstract A thermodynamic based higher-order gradient plasticity theory that enforces microscopic boundary conditions at interfaces and free surfaces is presented. The elastic strain tensor, the effective plastic strain, and its gradient are assumed as the state variables. It is shown that interfacial effects have a profound impact on the scale-dependent yield strength and strain hardening of micro/nanosystems even under uniform stressing. All of the thermodynamic conjugate forces are decomposed into energetic components related to the Helmholtz free energy and dissipative components related to the rate of energy dissipation. Moreover, a procedure based on maximum energy dissipation principle is proposed for deriving the dissipative components directly from the rate of energy dissipation. A systematic way for derivation of different local/nonlocal plasticity/viscoplasticity yield surfaces is also proposed. Finally, the model capabilities in capturing size and interfacial hardening effects in metal matrix composites, interfacial effects on the yield strength of thin metal films on substrates, and nonuniform size-dependent deformation of micropillars under uniform stressing are illustrated through several examples. Introduction It is well-known by now that the classical (local) plasticity theories cannot be used successfully in either eliminating the meshdependency when simulating the strain localization problems or predicting the experimentally observed size-effect (i.e. smaller is stronger) at the micron and submicron length scales. Therefore, in the last decade there has been a significant interest by the mechanics community in formulating higher-order gradient plasticity theories based on principle of virtual work/power and/or the laws of thermodynamics. Most of these theories have been shown to completely or partially solve the problem of strain localization and/or size-dependent problems at the micron and submicron length scales. However, very few of these theories correctly estimate the rate of energy dissipation. The correct estimation of rate of energy dissipation requires the decomposition of thermodynamic conjugate forces into energetic and dissipative components as it is shown in the pioneering works of Shizawa and Zbib [1] and Gurtin [2]. Also, a lower-order gradient plasticity theory could not predict any boundary layer effect, which makes them unsuitable for modeling interfacial effects in thin films, particle-matrix interfacial effects in nanocomposites, and nonuniform and scale-dependent response of micropillars under uniform stressing. Hence, this work is an attempt to enhance the gradient-dependent plasticity theories by including the interfacial effects and make them more thermodynamically consistent by decomposing all thermodynamic conjugate forces into energetic and dissipative components and subsequently deriving the dissipative components directly from the definition of the rate of energy dissipation. 33 ABSTRACTS
Page 1 and 2: Abstracts 1 ABSTRACTS
Page 3 and 4: Contents 4 Foreword 5 Welcome from
Page 5 and 6: Welcome From College of Engineering
Page 7 and 8: Roger Fosdick Department of Aerospa
Page 9 and 10: Invariants in Nonlinear Elasticity
Page 11 and 12: Coarse-Graining Atomistic Dynamics
Page 13 and 14: Fracture Behavior of Mechanophore-L
Page 15 and 16: Stability of periodic media under c
Page 17 and 18: Three Dimensional Compressible Mult
Page 19 and 20: Experimental and Modeling Study to
Page 21 and 22: Thermoresponsive Microcapsules for
Page 23 and 24: Shear Activation of Mechanophore-Li
Page 25 and 26: Room Temperature Healing of a Therm
Page 27 and 28: Collagen Fibrils: Multifunctional N
Page 29 and 30: Tianxiang Su Mechanical Engineering
Page 31: Understanding the Influence of Stra
Page 35 and 36: 35 ABSTRACTS
Page 37 and 38: where is the heating rate. Derivati
Page 39 and 40: Oxidation and Hole Formation in Alu
Page 41 and 42: Effect of surface tension and energ
Page 43 and 44: A Computational Framework for Micro
Page 45 and 46: 45 ABSTRACTS
Page 47 and 48: It has been suggested that air bubb
Page 49 and 50: Fig. 2. Melting temperature vs part
Page 51 and 52: Quantifying the Effect of Pulsatile
Page 53 and 54: Error analysis for 3-D shape measur
Page 55 and 56: To test the effects of the ultrasou
Page 57 and 58: Surface Coverage and Hybridization
Page 59 and 60: Track 1 Horner Symposia 59 ABSTRACT
Page 61 and 62: A 3D Pseudo-Elastic Model for Mulli
Page 63 and 64: Analytical Solutions for the Onset
Page 65 and 66: References [1] J. D. Humphrey. Nati
Page 67 and 68: Analysis of Stiffness Variations in
Page 69 and 70: Indentation of a Nonlinear Viscoela
Page 71 and 72: Linear Theory for the Bending and S
Page 73 and 74: Buckling and Finite Deformation of
Page 75 and 76: Remarks on the Infinitesimal Stabil
Page 77 and 78: finite characteristic dimensions, t
Page 79 and 80: On Mathematics in Ray Ogden's Contr
Page 81 and 82: Superposition of Finite-Amplitude S
Page 83 and 84:
Stability of Electro Active Polymer
Page 85 and 86:
Modelling of Electro-Viscoelasticit
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The Vibration Induced Dissipative H
Page 89 and 90:
Arterial Modeling Considering the M
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A Two-Scale Collagen Turn-Over Mode
Page 93 and 94:
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
Page 99 and 100:
Fundamental Solution in Plane Aniso
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Simply Unreal: Grassmann Hypercompl
Page 103 and 104:
Influence of Fiber Dissolution and
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On the electro-mechanical response
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On the Importance of Counterion Con
Page 109 and 110:
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
Page 261 and 262:
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
Page 283 and 284:
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
Page 299 and 300:
Wave Profile Shaping for Shock-Tube
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SYMPOSIUM 4-4 Size Scale Effects in
Page 303 and 304:
Atomistic and Continuum Understandi
Page 305 and 306:
Physical Interpretation and Experim
Page 307 and 308:
Tensile Ductility and Plasticity Me
Page 309 and 310:
A New Nonlocal Shell Model for Axis
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Effect of Surface Roughness and Fun
Page 313 and 314:
An Analysis of the Effects of Surfa
Page 315 and 316:
A SEM Image-based Finite Element Ap
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SYMPOSIUM 4-5 Phase Transformations
Page 319 and 320:
Modeling and Simulation of Strain-i
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Nanovoid Nucleation Inside Elastopl
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Molecular Dynamics Study of Thermal
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Effect of Surface Tension and Energ
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A bi-crystal Aggregate Model of Mar
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SYMPOSIUM 4-6 Multifunctional Compo
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Electrified Carbon Fiber Polymer Ma
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Thermal and Mechanical Properties o
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Carbon Nanotube Buckypaper Material
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Effective Parameters of Bucky Gel M
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Influence of Surface Roughness and
Page 341 and 342:
Microvascular Networks for Thermal
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Henghua Jin University of Illinois
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A High Temperature Cured Structural
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Autonomic Structural Cooling via Ad
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Pressurized Vascular Systems for He
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Photovoltaic Waveguide Polymer Comp
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Effect of Silane Coupling Agent on
Page 355 and 356:
Crushing Behavior of Composite Hexa
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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
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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 and 372:
Failure Surfaces for Fiber-Reinforc
Page 373 and 374:
Nonlocal Boundary Layer Method for
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
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Measurement of Mechanical Propertie
Page 389 and 390:
The Role of Electrons in Nanostruct
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Thermoresponsive Microcapsules for
Page 393 and 394:
Elastic Softening of Amorphous and
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Autonomic Restoration of Conductivi
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Response of Composite Structures to
Page 399 and 400:
Lateral Vibration of a Travelling T
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Shear Activation of Mechanophore-Li
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Cooling Effects on the Vibronic Ban
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Dynamoic Damage Tolerance of Aerona
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SYMPOSIUM 4-13 Laser and Multi-Ener
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Ab initio Simulation of Photo-disso
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Laser Texturing of Polyimide for Al
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Surface Modification of Titanium Vi
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Coating Deposition via Insertion of
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Laser Resonant Vibrational Excitati
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Femtosecond Laser Fabrication of Ne
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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
Page 433 and 434:
Probing Acoustic Nonlinearity using
Page 435 and 436:
Ultrasonics of Periodic Structures
Page 437 and 438:
Nanoscale Interfacial Probing of Ru
Page 439 and 440:
Laser Ultrasonic Thermometry for In
Page 441 and 442:
Physics-based Analysis of Infrared
Page 443 and 444:
Acoustic Characteristics Measuremen
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