Multiscale Modeling of Heterogenous Materials: From Microstructure to Macro-Scale Properties (ISTE)

Multiscale modeling methods in biomechanics
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The elastoplastic behavior of the macroscopically homogeneous material is defined by the Gurson—Tvergaard—Needleman constitutive model and the parameters involved are considered as random variables with Gaussian probability distribution. A comparison with Monte Carlo simulation as well as the semi-analytical integral technique based on the same polynomial bases confirms applicability of the proposed method for moderate input uncertainty.

In summary, the papers of this Special Section provide a glimpse of the current research trends in the field of stochastic multiscale modeling which aims at improving the safety and reliability of heterogeneous materials and structures.

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Google Scholar. Author and Article Information. George Stefanou.

Aims and scope

Chemical Reactor Modeling. Engineering Structures, 50, , Jukic M. Papadrakakis, M. Hajdo, S. Moshe Shapiro. Brancherie, P.

Sep , 5 3 : 2 pages. Published Online: June 5, Article history Received:. Standard View Views Icon Views. Issue Section:. Volume 5, Issue 3.

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INTRODUCTION

Cited By Google Scholar. Eng Struct , 47 — Hambli R. Application of neural networks and finite element computation for multiscale simulation of bone remodeling. J Biomech Eng , A unifying principle relating stress to trabecular bone morphology. J Orthop Res , 4 — Multiscale modeling of bone tissue with surface and permeability control.

AN XFEM BASED MULTISCALE APPROACH TO FRACTURE OF HETEROGENEOUS MEDIA

J Biomech , 44 — MOSAIC: a multiscale model of osteogenesis and sprouting angiogenesis with lateral inhibition of endothelial cells. PLoS Comput Biol , 8 :e J Theor Biol , — A hybrid bioregulatory model of angiogenesis during bone fracture healing.

Oxygen as a critical determinant of bone fracture healing—a multiscale model. PLoS Comput Biol , 10 :e Use it or lose it: multiscale skeletal muscle adaptation to mechanical stimuli.

Coarse-grained and Multiscale Modeling of Biological Systems

Biomech Model Mechanobiol , 14 — Atrophy responses to muscle inactivity. II: molecular markers of protein deficits. J Appl Physiol , 95 — Taber LA.

List of Publications

Biomechanical growth laws for muscle tissue. On high heels and short muscles: a multiscale model for sarcomere loss in the gastrocnemius muscle.

A conceptual framework for computational models of Achilles tendon homeostasis. Biomech Model Mechanobiol , 11 — Influence of mineralization and microporosity on tissue elasticity: experimental and numerical investigation on mineralized turkey leg tendons. Calcif Tissue Int , 90 — Experimental validation of a mean filed model of mineralized collagen fiber. J Mech Med Biol , 14 On the elastic properties of mineralized turkey leg tendon tissue: multiscale model and experiment.

Biomech Model Mechanobiol , 13 — Biomech Model Mechanobiol , 2 — Fritsch A, Hellmich C. Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: experimentally supported micromechanical explanation of bone strength. Layered water in crystal interfaces as source for bone viscoelasticity: arguments from a multiscale approach. Comput Methods Biomech Biomed Engin , 17 — Bilston LE, Tan K. Measurement of passive skeletal muscle mechanical properties in vivo: recent progress, clinical applications, and remaining challenges.

Ann Biomed Eng , 43 — Functional electrical stimulation control of standing and stepping after spinal cord injury: a review of technical characteristics. Neuromodulation , 12 — Multiscale modeling of skeletal muscle properties and experimental validations in isometric conditions.

Biol Cybern , — Huxley A.

Stanford Libraries

Muscle structure and theories of contraction. Prog Biophys Biophys Chem , 7 — Modulation of muscle force by recruitment during intramuscular stimulation. Incorporating plasticity of the interfibrillar matrix in shear lag models is necessary to replicate the multiscale mechanics of tendon fascicles. J Mech Behav Biomed Mater , 40 — Interfibrillar shear stress is the loading mechanism of collagen fibrils in tendon.

Acta Biomater , 10 — Flow interactions with cells and tissues: cardiovascular flows and fluid—structure interactions. Ann Biomed Eng , 38 — A numerical fluid mechanical study of repaired congenital heart defects: application to the total cavopulmonary connection. Geometric multiscale modeling of the cardiovascular system, between theory and practice. Comput Methods Appl Mech Eng , — Multiscale Model Simul , 11 — Multiscale modelling of the circulatory system: a preliminary analysis.

Comput Vis Sci , 2 — Comput Mech , 46 — Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. Biorheology , 39 — On the coupling of 3D and 1D Navier—Stokes equations for flow problems in compliant vessels. Front Physiol , 4 Leiderman K, Fogelson A. An overview of mathematical modeling of thrombus formation under flow. Thromb Res , Suppl :S12—S Blood , — Multiscale model of fibrin accumulation on the blood clot surface and platelet dynamics. Methods Cell Biol , — Biophys J , 98 — Cell Mol Bioeng , 7 — A multiple time stepping algorithm for efficient multiscale modeling of platelets flowing in blood plasma.

J Comput Phys , — Ginsburg H, Stein WD. Biophysical analysis of novel transport pathways induced in red blood cell membranes. J Membr Biol , 96 :1— Soft Matter , 9 — Salehyar S, Zhu Q. Deformation and internal stress in a red blood cell as it is driven through a slit by an incoming flow.

Soft Matter , 12 — A cellular Potts model analyzing differentiated cell behavior during in vivo vascularization of a hypoxic tissue. Comput Biol Med , 63 — A multiscale hybrid approach for vasculogenesis and related potential blocking therapies. Prog Biophys Mol Biol , — PLoS Comput Biol , 5 :e Increase of plasma VEGF after intravenous administration of bevacizumab is predicted by a pharmacokinetic model. Cancer Res , 70 — Phys Rev E , 90 Phys Rev E , 93 Kim JG, Adrian W. Predicting perioperative stroke.

J Neurosurg Anesthesiol , 7 — Artif Organs , 36 :E97—E J Biomech , 47 — Med Eng Phys , 38 — Weinberg SH. High frequency stimulation of cardiac myocytes: a theoretical and computational study. Chaos , 24 Abnormal calcium homeostasis in heart failure with preserved ejection fraction is related to both reduced contractile function and incomplete relaxation: an electromechanically detailed biophysical modeling study.

Front Physiol , 6 :1— Cardiomyocyte stiffness in diastolic heart failure. Circulation , — Gaur N, Rudy Y. Multiscale modeling of calcium cycling in cardiac ventricular myocyte: macroscopic consequences of microscopic dyadic function.