MECHANICS OF MODERN MATERIALS
Introduction to Modern Materials: Fiber-Reinforced Polymer Composite (FRPC) Materials: Definition, Historical development, applications. Fibers and Matrix, types and their properties. Manufacturing process and methods for composites. Types and classification of composite materials, properties, advantages over conventional materials. Piezoelectric Materials: History, crystal structure, applications. Shape Memory Alloys (SMA), Functionally Graded Materials (FGM): definition and applications.
Engineering Properties of Modern Materials: FRPC Composite Lamina: Micromechanics approach, methods. Longitudinal and transverse elastic properties of composite lamina, in-plane shear modulus for continuous fibers. Stress-strain relationship, compliance and stiffness matrices for generally anisotropic, specially orthotropic material, transversely isotropic material, orthotropic, isotropic materials, Plane stress condition for thin lamina, transformation of stress and elastic properties. Three dimensional transformations. Piezoelectric Materials: Piezoelectric coefficients, electric displacements, piezoelectric strain matrix for Quartz, Lead Zirconate-titanate, Polyvinylidene fluoride. Stiffness matrix for Functionally Graded Materials.
Strength of Composite Lamina: Introduction. Failure theories, Maximum stress theory, Maximum strain theory, Energy based interaction theory (Tsai-Hill), Interactive tensor polynomial theory (Tsai-Wu), Failure mode based theory (Hasin-Rotem). Computation of lamina strength by Tsai-Wu theory for plane stress condition. Comparison of various failure theories.
Elastic behaviour of Composite Laminates: Basic assumptions, Laminate configurations, Straindisplacement relationship, Stress-strain relationship, Force and moment resultants, Laminate compliances and stiffness matrices, Transformation of matrices. Load deformation relationship for symmetric laminates, symmetric cross-ply, symmetric angle-ply, balanced, antisymmetric cross-ply and angle ply, orthotropic, quasi-isotropic laminates.
Hygrothermal Expansion and Design of Composite Structure: Coefficients of thermal and moisture expansion of various unidirectional lamina, load deformation relationship, residual stresses for cross ply symmetric laminates.Design methodology, design of pressure vessel for various laminate configurations.
Experimental Methods of Testing of Composite Materials: Characterisation of constituent materials, fiber, matrix, thermal fiber, interface/interphase characterisation, Fiber volume ratio, void volume ratio. Determination of hygrothermal expansion coefficients, tensile, compressive and shear properties of unidirectional laminates. Testing of interlaminar fracture toughness, Biaxial testing. Introduction to stress concentration in laminates.
1. Isaac M. Daniel and Ori Ishai - Engineering Mechanics of Composite Materials, Oxford University
Press, Second Edition, New Delhi.
2. Michael W. Hyer - Stress Analysis of Fiber-Reinforced Composite Materials, WCB/McGraw-Hill, Singapore.
3. Jones R. M. – Mechanics of Composite Materials, McGraw-Hill, New York
4. Roman Solecki and R Jay Conant – Advanced Mechanics of Materials, Oxford University Press, New York, Special Edition for sale in India.
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