Green David J. An Introduction to the Mechanical Properties of Ceramics

Cambridge University Press, 1998. XII, 336 p. — ISBN: 0-521-59087-6 (hardback), ISBN: 0-521-59913-X (paperback). — (Cambridge Solid State Science Series).Over the past twenty-five years ceramics have become key materials in the development of many new technologies as scientists have been able to design these materials with new structures and properties. An understanding of the factors that influence their mechanical behavior and reliability is essential.This book will introduce the reader to current concepts in the field. It contains problems and exercises to help readers develop their skills. This is a comprehensive introduction to the mechanical properties of ceramics, and is designed primarily as a textbook for advanced undergraduates in materials science and engineering. It will also be of value as a supplementary text for more general courses and to industrial scientists and engineers involved in the development of ceramic-based products, materials selection and mechanical design.Elastic behaviorElastic deformation of atomic bonds
Failure of Hooke's Law
Engineering elastic constants
Strain at a point
Transformation of strains
Dilatational and deviatoric strains
Strain compatibility
Tensors
Coefficients of thermal expansion
Definition of stress
General version of Hooke's Law
Elastic behavior of anisotropic materials
Elastic behavior of isotropic materials
Miscellaneous effects on the elastic constants
Propagation of mechanical disturbances
Resonant vibrations
Measurement of elastic constants
ProblemsEffect of structure on elastic behaviorRelationship of elastic constants to interatomic potential
Elastic anisotropy and atomic structure
Elastic behavior of particulate composites
ft Advanced constitutive relationships for composites
Constitutive relations for random polycrystals
Effects of porosity and microcracking on elastic constants
Thermal expansion behavior of polycrystalline ceramics
Elastic behavior of sandwich panels
ProblemsElastic stress distributionsStatically determinate and indeterminate problems
Thin-walled pressure vessels
Bending of beams
Elastic stability and buckling
Plane stress and plane strain
Cylindrical polar coordinates
Pressurized thick-walled cylinders
Residual stresses in composites
Stress concentrations due to pores and inclusions
Contact forces
ProblemsViscosity and viscoelasticityNewton's Law of viscosity
Temperature dependence of viscosity
Simple problems of viscous flow
General equations for slow viscous flow
Non-linear viscous flow
Dispersion of solid particles in a fluid
scoelastic models
Anelasticity in ceramics and glasses
ProblemsPlastic deformationTheoretical shear strength
Dislocations
Stress fields of dislocations
Attributes of dislocations
The geometry of slip
Partial dislocations
Plasticity in single crystals and polycrystalline materials
Obstacles to dislocation motion
Plasticity mechanics
Hardness
ProblemsCreep deformationCreep in single crystals
Creep in polycrystals
Deformation mechanism maps
Measurement of creep mechanisms
ProblemsBrittle fractureTheoretical cleavage strength
Stress concentrations at cracks
The Griffith concept
Nucleation and formation of cracks
Linear elastic fracture mechanics
Stress intensity factor solutions
Methods of determining stress intensity factors
Indentation fracture
R curves
Mixed mode fracture
Microstructural aspects of crack propagation
Sub-critical crack growth
Fractography
Contact-damage processes
J-integral
ProblemsStrength and engineering designStrength testing
Failure statistics
Time dependence of strength
Determination of sub-critical crack growth parameters
SPT diagrams
Improving strength and reliability
Temperature dependence of strength
Thermal stresses and thermal shock
Thermal shock resistance parameters
Residual stresses
ProblemsComprehension exercisesAppendicesExplicit relations between the stiffness and compliance constants for selected crystal classes
Young's modulus as a function of direction for various single crystals
Relationship between engineering elastic constants for isotropic materials
Madelung constants for various crystal types
Stress and deflection for common testing geometries