Classical Lamination theory — Part 1 — Lesson 2

This lesson covers the macromechanical analysis of laminates, focusing on the classical lamination theory. It explains the assumptions made in the theory, such as each layer being homogeneous and orthotropic, and the laminate being thin with larger lateral dimensions. The lesson also discusses the response of a laminate subjected to different forces and environments, including axial force, shear force, bending, and hygrothermal mechanical loading. It further elaborates on the displacement field, strain displacement relationship, and stress strain relationship. The lesson uses illustrative examples to explain the concepts, such as the displacement of a laminate in terms of the mid-surface displacement and the z-coordinate of the point along the thickness of the laminate.

Video Highlights

01:54 - Discussion on the response of a laminate to different forces and environments
08:44 - Explanation of displacement field
21:48 - Explanation of strain displacement relationship
30:58 - Explanation of stress strain relationship

Key Takeaways

- The classical lamination theory assumes each layer of a laminate to be homogeneous and orthotropic, and the laminate to be thin with larger lateral dimensions.
- The response of a laminate to different forces and environments can be understood through this theory.
- The displacement field, strain displacement relationship, and stress strain relationship are key concepts in understanding the behavior of laminates.
- The displacement of a laminate can be expressed in terms of the mid-surface displacement and the z-coordinate of the point along the thickness of the laminate.
- The stress in each layer of a laminate is different and discontinuous at the interface.