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Advanced Composites

Advanced Composites. Instructor: Dr. Nachiketa Tiwari, Department of Mechanical Engineering, IIT Kanpur. This course is intended for all those who want to conduct experiments in area of NVH. Thus, the course is open to students of engineering and science, and also to all those who from the industry and research organizations - who are working in area of sound, NVH and acoustics. Each lecture will be followed by a quiz, which will help student the concepts better, and gain deeper insights to measurement process. The course is fairly generic so that there is no need for a particular background. Rather, what is needed is openness, and ability to learn and check out new ideas with comfort. (from nptel.ac.in)

Lecture 25 - Governing Equations for Composite Plates

This lecture contains the following topics: Representation of forces on a composite plate, Force equilibrium in X and Y-directions, Conditions for equilibrium.


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Lecture 01 - Basics of Composite Materials
Lecture 02 - Different Types of Fibers
Lecture 03 - Properties of Single Layer Continuous Fiber Composites
Lecture 04 - Properties of Single Layer Continuous Fiber Composites (cont.)
Lecture 05 - Strength of Single Layer Continuous Fiber Composites
Lecture 06 - Strength of Single Layer Continuous Fiber Composites (cont.)
Lecture 07 - Concept of Tensor
Lecture 08 - General Anisotropic Material
Lecture 09 - Specially Orthotropic Material
Lecture 10 - Specially Orthotropic Material under Plane Stress
Lecture 11 - Stress and Strain Transformation
Lecture 12 - Transformation of Stiffness and Compliance Matrices
Lecture 13 - Strain-Displacement Relations
Lecture 14 - Relations for Stress and Strain along Thickness of Laminate
Lecture 15 - Stress-Strain Variation along Laminate Thickness
Lecture 16 - Force and Moment Resultant
Lecture 17 - Force and Moment Resultant (cont.)
Lecture 18 - Important Observation related to [A], [B] and [D] Matrices
Lecture 19 - Quasi-Isotropic Laminates
Lecture 20 - Maximum Stress Theory
Lecture 21 - Maximum Strain Theory
Lecture 22 - Importance of Sign of Shear Stress
Lecture 23 - Failure Initiation in Composite Laminate
Lecture 24 - Progressive Failure of Laminate in a Laminate
Lecture 25 - Governing Equations for Composite Plates
Lecture 26 - Force Equilibrium in Z-direction
Lecture 27 - Moment Equilibrium Equations
Lecture 28 - Equilibrium Equations for Composite Plates
Lecture 29 - Boundary Conditions associated with Different Edges of Composite Plate
Lecture 30 - Boundary Conditions associated with Different Edges of Composite Plate (cont.)
Lecture 31 - Generalized Solution for Semi-Infinite Plate
Lecture 32 - Generalized Solution for Semi-Infinite Plate (cont.)
Lecture 33 - Particular Solution for Semi-Infinite Plate: Class A
Lecture 34 - Particular Solution for Semi-Infinite Plate: Class B
Lecture 35 - Particular Solution for Semi-Infinite Plate: Class C
Lecture 36 - Particular Solution for Semi-Infinite Plate: Class D
Lecture 37 - Solution for Governing Equation related to Semi-Infinite Composite Plate
Lecture 38 - Nature of Displacement U0(x) and How it Gets Influence by Important Parameters of Lamination Sequence
Lecture 39 - Semi-Infinite Plate Loaded in the X-direction
Lecture 40 - Semi-Infinite Plate Loaded in the X-direction (cont.)
Lecture 41 - Thermal Effects in Composite Laminates
Lecture 42 - Thermal Effects in Composite Laminates (cont.)
Lecture 43 - Thermal Effects in Composite Laminates (cont.)
Lecture 44 - Finite Rectangular Plate
Lecture 45 - Different Boundary Conditions in Finite Rectangular Plate
Lecture 46 - Example based on a Finite Rectangular Plate
Lecture 47 - Example based on a Finite Rectangular Plate (cont.)
Lecture 48 - Example based on a Finite Rectangular Plate (cont.)
Lecture 49 - Anticlastic Curvature
Lecture 50 - Principle of Virtual Work
Lecture 51 - Virtual Work Method: Apply to Beam Problem
Lecture 52 - Virtual Work Method: Apply to Simply Supported Plate
Lecture 53 - Beam (Two Term Solution)
Lecture 54 - Third Interpretation of Special Galerkin Method
Lecture 55 - Role of D16 and D26 Terms on Laminated Plate Response I
Lecture 56 - Role of D16 and D26 Terms on Laminated Plate Response II
Lecture 57 - Role of D16 and D26 Terms on Laminated Plate Response III
Lecture 58 - Role of D16 and D26 Terms on Laminated Plate Response IV
Lecture 59 - Free Vibration in Composite Plate
Lecture 60 - Free Vibration in Composite Plate (cont.)
Lecture 61 - Buckling of Composite Plates
Lecture 62 - Force Equilibrium in Z-direction for Buckling of Composite Plates
Lecture 63 - Moment Equilibrium around X, Y, Z-directions for Buckling of Composite Plates
Lecture 64 - Buckling of an Infinitely Long Composite Plate
Lecture 65 - Buckling of a Simply Supported Finite Plate
Lecture 66 - Composite Plate under Bidirectional Compression
Lecture 67 - Shear Buckling in Rectangular Composite Plate
Lecture 68 - Shear Buckling in Rectangular Composite Plate (cont.)
Lecture 69 - Introduction to Short-Fiber Composites
Lecture 70 - Theories of Stress Transfer
Lecture 71 - Theories of Stress Transfer (cont.)
Lecture 72 - Modulus of Short-Fiber Composites and Closure