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010 a| 2019032696;

020 a| 9781584887911q| (hardback);

020 z| 9780429143380q| (ebook);

035 a| (WaSeSS)ssj0002409145;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| RC931.O73b| G53 2021;

082 00 a| 616.7/16075432| 23;

100 1 a| Gilbert, Robert P.,d| 1932-=| ^A550167;

245 10 a| Applications of homogenization theory to the study of mineralized tissueh| [electronic resource] /c| Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, and Klaus Hackl.;

260 a| Boca Raton :b| CRC Press, Taylor & Francis Group,c| [2021];

300 a| xiv, 283 pages :b| illustrations ;c| 25 cm.;

504 a| Includes bibliographical references (pages 259-279) and index.;

505 0 a| Introductory remarks -- The homogenization technique applied to soft tissue -- Acoustics in porous media -- Wet ionic, piezo-electric bone -- Visco-elasticity and contact friction between the phases -- Acoustics in a random microstructure -- Non-Newtonian interstitial fluid -- Multiscale FEM for the modeling of cancellous bone -- G-convergence and homogenization of viscoelastic flows -- Biot type models for bone mechanics -- Creation of RVE for bone microstructure -- Bone growth and adaptive elasticity.;

506 a| Available only to authorized users.;

520 a| "This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. It first presents the theoretical foundations of this powerful tool of analysis. Building on the theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Osteoporosisx| Diagnosisx| Mathematical models.=| ^A5421;

650 0 a| Diagnostic ultrasonic imagingx| Mathematics.=| ^A1731;

650 0 a| Homogenization (Differential equations)=| ^A356931;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Hackl, K.q| (Klaus)=| ^A1290678;

700 1 a| Klinge, Sandrac| (Professor of mechanical engineering)?| UNAUTHORIZED;

700 1 a| Panchenko, Alexq| (Alexander)?| UNAUTHORIZED;

700 1 a| Vasilic, Ana.?| UNAUTHORIZED;

856 40 z| Full text available from Taylor & Francis eBooksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fwww.taylorfrancis.com%2Fbooks%2F9780429143380;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6656433-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 12/18/2025x| EBOOKz| JERESOURCE;

Applications of homogenization theory to the study of mineralized tissue / Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, and Klaus Hackl.

Author/creator	Gilbert, Robert P., 1932-
Format	Electronic
Publication Info	Boca Raton : CRC Press, Taylor & Francis Group, [2021]
Description	xiv, 283 pages : illustrations ; 25 cm.
Supplemental Content	Full text available from Taylor & Francis eBooks
Subjects	Osteoporosis--Diagnosis. --Mathematical models. Diagnostic ultrasonic imaging--Mathematics. Homogenization (Differential equations)

Other author/creator	Hackl, K. (Klaus)
Other author/creator	Klinge, Sandra (Professor of mechanical engineering)
Other author/creator	Panchenko, Alex (Alexander)
Other author/creator	Vasilic, Ana.
Contents	Introductory remarks -- The homogenization technique applied to soft tissue -- Acoustics in porous media -- Wet ionic, piezo-electric bone -- Visco-elasticity and contact friction between the phases -- Acoustics in a random microstructure -- Non-Newtonian interstitial fluid -- Multiscale FEM for the modeling of cancellous bone -- G-convergence and homogenization of viscoelastic flows -- Biot type models for bone mechanics -- Creation of RVE for bone microstructure -- Bone growth and adaptive elasticity.
Abstract	"This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. It first presents the theoretical foundations of this powerful tool of analysis. Building on the theory, the authors explore various types of application problems, including flow in porous media, sound propagation in fluid saturated solids, acoustics of granular material, computational multiscale finite element methods, and interfaces in viscoelastic materials. The book also discusses results in which G-limits have different structures from the initial operators"-- Provided by publisher.
Bibliography note	Includes bibliographical references (pages 259-279) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2019032696
ISBN	9781584887911 (hardback)
ISBN	(ebook)

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Applications of homogenization theory to the study of mineralized tissue / Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, and Klaus Hackl.

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