Modeling of Large Deformations in Drying Viscoelastic Materials

Modeling of Large Deformations in Drying Viscoelastic Materials PDF Author: Jason Aaron Graves
Publisher:
ISBN:
Category :
Languages : en
Pages : 410

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A Computational Model for Large Deformations of Viscoelastic Materials

A Computational Model for Large Deformations of Viscoelastic Materials PDF Author: Slijepcevic Sava
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages :

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Two-way Coupling of Multiphase Transport and Viscoelastic Large Deformation of Unsaturated Swelling Porous Materials

Two-way Coupling of Multiphase Transport and Viscoelastic Large Deformation of Unsaturated Swelling Porous Materials PDF Author: Haolin Zhu
Publisher:
ISBN:
Category :
Languages : en
Pages : 342

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Book Description
Multiphase transport in unsaturated swelling porous materials involves fluid mass transport, heat transfer as well as swelling of the porous solid matrix. Neglecting the deformation of the solid matrix can lead to erroneous results when modeling transport phenomena in porous materials. In particular, many porous materials exhibit viscoelastic effect upon wetting/drying, which can expedite or slow the transport process. This work presents modeling and simulation of two-way coupling of multiphase transport and viscoelastic large deformation of unsaturated swelling porous systems based on fundamental physics. The work includes the development of a thermomechanical theory for multiphase transport in unsaturated swelling porous media based on the Hybrid Mixture Theory (saturated systems can also be modeled as a special case of this general theory). The theory includes three phases: solid matrix, fluid and air and uses the Coleman-Noll procedure to obtain restrictions on the form of the constitutive equations. Derived relationships include, for example, a modified Darcy's law, which takes into account both Fickian and non-Fickian transport, and a viscoelastic constitutive relationship that relates the stress and strain tensors for the solid phase. A model is then developed based on this theory for isothermal conditions which involves a simple form of a differential-integral equation that governs the fluid transport and is fully coupled with the solid large deformation. Numerical implementation of this model is then presented that involves a finite element analysis of water absorption of plane sheet pasta and numerical results of sorption curves show good agreement with experimental results obtained from the literature. Importance of including viscoelastic relaxation is investigated for soaking processes of pasta. Drying of potato is also considered in this work as an important example of two-way coupling of multiphase transport and viscoelastic large deformation of the solid matrix of porous materials because during drying processes, the transition of outer surface of the material from rubbery to glassy state at low moisture content can slow or stop shrinkage of the materials, and thus viscoelasticity plays an important role.

Strain Gradient Models for Viscoelastic Behaviour at Large Deformation

Strain Gradient Models for Viscoelastic Behaviour at Large Deformation PDF Author: R. Sievert
Publisher:
ISBN:
Category :
Languages : en
Pages : 62

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Mathematical Modeling of Inelastic Deformation

Mathematical Modeling of Inelastic Deformation PDF Author: J.F. Besseling
Publisher: CRC Press
ISBN: 9780412452802
Category : Mathematics
Languages : en
Pages : 344

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Book Description
Mathematical Modeling of Inelastic Deformation details the mathematical modeling of the inelastic behavior of engineering materials. The authors use a thermodynamic approach to the subject and focus on crystalline materials, but not to the exclusion of macro-moleular solids. Within a unified theory for small and large deformations, they develop simple models, such as the elastic-perfectly plastic model, as well as complex models dealing with anisotropic hardening. The book includes finite element implementation of the theory and illustrates the implementation with examples from heat production and conduction processes.

Heat and Mass Transfer Modelling During Drying

Heat and Mass Transfer Modelling During Drying PDF Author: Mohammad U.H. Joardder
Publisher: CRC Press
ISBN: 042986552X
Category : Science
Languages : en
Pages : 192

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Book Description
Most conventional dryers use random heating to dry diverse materials without considering their thermal sensitivity and energy requirements for drying. Eventually, excess energy consumption is necessary to attain a low-quality dried product. Proper heat and mass transfer modelling prior to designing a drying system for selected food materials can overcome these problems. Heat and Mass Transfer Modelling During Drying: Empirical to Multiscale Approaches extensively discusses the issue of predicting energy consumption in terms of heat and mass transfer simulation. A comprehensive mathematical model can help provide proper insight into the underlying transport phenomena within the materials during drying. However, drying of porous materials such as food is one of the most complex problems in the engineering field that is also multiscale in nature. From the modelling perspective, heat and mass transfer phenomena can be predicted using empirical to multiscale modelling. However, multiscale simulation methods can provide a comprehensive understanding of the physics of drying food materials. KEY FEATURES Includes a detailed discussion on material properties that are relevant for drying phenomena Presents an in-depth discussion on the underlying physics of drying using conceptual visual content Provides appropriate formulation of mathematical modelling from empirical to multiscale approaches Offers numerical solution approaches to mathematical models Presents possible challenges of different modelling strategies and potential solutions The objective of this book is to discuss the implementation of different modelling techniques ranging from empirical to multiscale in order to understand heat and mass transfer phenomena that take place during drying of porous materials including foods, pharmaceutical products, paper, leather materials, and more.

Studies on Constitutive Equations of Viscoelastic Materials Under Large Deformation

Studies on Constitutive Equations of Viscoelastic Materials Under Large Deformation PDF Author: George Lianis
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Journal of Research of the National Institute of Standards and Technology

Journal of Research of the National Institute of Standards and Technology PDF Author:
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 950

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Book Description
Reports NIST research and development in the physical and engineering sciences in which the Institute is active. These include physics, chemistry, engineering, mathematics, and computer sciences. Emphasis on measurement methodology and the basic technology underlying standardization.

Modeling of Biological Materials

Modeling of Biological Materials PDF Author: Francesco Mollica
Publisher: Springer Science & Business Media
ISBN: 0817644113
Category : Technology & Engineering
Languages : en
Pages : 368

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Book Description
This unique collection highlights the central role played by modeling in general, and the modeling of mechanical considerations that have an effect on living matter. The volume collects several survey papers by actively working specialists, dealing with some of the most important problems – both theoretical and practical – in biomechanics. Written in a user-friendly style, these papers clearly explain both the biomedical and mechanical backgrounds associated with complex phenomena. This book may be used in interdisciplinary introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine.

Chemical Abstracts

Chemical Abstracts PDF Author:
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 2566

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