Desiccation Cracks and their Patterns Formation and Modelling in Science and Nature 1st Edition by Lucas Goehring ,Akio Nakahara ,Tapati Dutta ,So Kitsunezaki ,Sujata Tarafdar – Ebook PDF Instant Download/Delivery:3527412131 ,978-3527412136
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Product details:
ISBN 10:3527412131
ISBN 13:978-3527412136
Author:Lucas Goehring ,Akio Nakahara ,Tapati Dutta ,So Kitsunezaki ,Sujata Tarafdar
Bringing together basic ideas, classical theories, recent experimental and theoretical aspects, this book explains desiccation cracks from simple, easily-comprehensible cases to more complex, applied situations.
The ideal team of authors, combining experimental and theoretical backgrounds, and with experience in both physical and earth sciences, discuss how the study of cracks can lead to the design of crack-resistant materials, as well as how cracks can be grown to generate patterned surfaces at the nano- and micro-scales. Important research and recent developments on tailoring desiccation cracks by different methods are covered, supported by straightforward, yet deep theoretical models.
Intended for a broad readership spanning physics, materials science, and engineering to the geosciences, the book also includes additional reading especially for students engaged in pattern formation research.
Table of contents:
- Introduction
Why Study Drying Mud?
Objectives and Organization of the Book
Approach and Scope
References - Elasticity
On Springs
Deformation, Displacement and Strain
Transformations of Strains, Principal Strains and Volumetric Strain
Stress
Thermodynamics and the Work of Deformation
Linear Elasticity
Different Formulations of Linear Elasticity
Plane Elasticity
Plane Strain and Plane Stress
Airy Stress Function
Summary
Further Reading
References - Fracture Mechanics
Griffith and Fracture Energy
Stress Concentration
Stress Intensity Factors
Fracture Toughness and the Relationship Between σc and G
Summary of the Critical Conditions for Fracture
An Example: Thin-Film Fracture
Nonlinear and Dissipative Effects of Fracture
A Plastic Zone Model of Fracture
A Mesoscopic View – The Path-Independent J-integral
Dynamic Elasticity and Dynamic Fracture
Crack Path Selection
Summary and Further Reading
References - Poroelasticity
Pressure and Stress in a Two-component System
Fick’s Laws
Darcy’s Law
Network and Total Stress
Linear Poroelasticity
Poroelastic Energy Density
Poroelastic Constitutive Relations
Different Formulations of Poroelasticity
Relationship Between Poroelasticity and Thermoelasticity
Worked Examples of Poroelastic Deformation
Poroelasticity and a Driving Force for Fracture
Summary and Further Reading
References - Colloids and Clays
DLVO Theory
van der Waals Potential
Electrostatic Potential
DLVO Theory and its Limitations
Clays
Summary and Further Reading
References - Desiccation
Surface Tension and Capillary Pressure
Contact Lines and Capillary Rise
Solidification Through Evaporation
Skin Formation
Crystals and Cages
Aggregation
Pore-Scale Processes
Structure of a Drying Soil
Dynamics of a Drying Soil
Continuum Models of Drying
Surface Drying
Internal Transport: Carman–Kozeny
Further Reading
References - Patterns of Crack Networks in Homogeneous Media
Introduction
Experimental Observations
Sequential Fragmentation and Length Scale Selection
Scaling of Crack Width
Distribution of Angles Between Cracks
Directional Drying
Characterizing the Crack Pattern: 2D View
Scale Invariance in Crack Patterns: Self-Similar and Self-Affine Structures
Scale Invariant Crack Width Distribution
Fractal Dimension of the Crack Edge
Self-Affinity of the Fracture Surface
Fractal Fracture Mechanics
Topology and Connectivity of the Crack Network
Minkowski Numbers and Densities
Network Theory Approach: Mapping onto an Equivalent Network
Percolation
Instabilities: Spirals and Wavy Cracks, En Echelon / En Passant Cracks, Star Cracks, and Wing Cracks
En Echelon Cracks
En Passant Cracks
Spiral Cracks
Wavy Cracks
Star Bursts and More Patterns
Crack Dynamics and Branching Cracks
Transition Between Different Modes of Instability and Fracture
Dendrite to Fracture
Viscous Fingering to Fracture
Invasion Percolation to Fracture
Towards Three Dimensions: Geological Formations, Drying Soil and Peeling
Obreimoff’s Experiment
Natural Mud Cracks in Quasi-2D
Simulation of Quasi-2D Patterns
2D Modelling of Fracture: The Fibre Bundle Model
Random Fuse Model
Spring Network Model
Other Models
Summary
Further Reading
References - The Effects of Plasticity on Crack Formation
Introduction to Rheology
Elastic Material and Fluid
Linear Viscoelasticity
Bingham Model
Elastoplasticity for Slow Deformation Processes
Decomposition of Elastic and Plastic Deformation
Thermodynamics of Elastoplasticity
Yield Conditions and the Normality Law
Yield Conditions of Paste-Like Materials
Crack Propagation in a Layer of Wet Paste
Plumose Structure in Crack Surfaces
Microscopic Observation of Plastic Deformation
Measurements of the Speed of Crack Growth in a Uniform Paste Layer
Theoretical Approaches for Crack Velocities
Viscoelastic Effect on Crack Propagation: 1D Lattice Model of Rheological Elements
Competition of Global Plastic Relaxation and Crack Growth
Memory Effect of Paste Due to Its Plasticity
Memory of Vibration and Its Visualization as Desiccation Crack Pattern
Memory of Vibration and Lamellar Crack Pattern
Plasticity of Paste
Condition for the Memory Effect of Vibration: Experimental Results
Residual Tension Theory to Explain Memory Effect of Vibration
Quasi-linear Analysis
Governing Equations for Non-linear Analysis
Non-linear Analysis
Condition for the Memory Effect of Vibration: Theoretical Explanation
Position Control of Cracks by Memory Effect and Faraday Waves
Memory of Flow and a Role of Interaction Between Colloidal Particles
Further Reading
References - Special Topics
Tailoring Crack Patterns
Effect of Electric Fields on Desiccation Cracks
Effects of a Direct Field (DC)
Effect of an Alternating Field (AC)
DC Field Effect in Drying Droplets
Effect of a Magnetic Field on Desiccation Cracks
Patterning Cracks Through Micro-Technology
Designing Crack-Resistant Materials and Composites
Composites of Soft and Hard Particles
Employing Heterogeneous Material
Crack Reduction with ‘Liquid Particles’
Crack Patterns in Drying Droplets of Biofluids
Human Blood Droplets and Drying Dynamics
Effect of Relative Humidity on Drying Droplets
Substrate Effect on Drying Droplets of Blood
Evolving Crack Networks
Columnar Joints
Evolving Mud Cracks
Other Crack Patterns
Further Reading
References
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Tags: Lucas Goehring, Akio Nakahara, Tapati Dutta, So Kitsunezaki, Sujata Tarafdar, Desiccation, Cracks


