This book treats the micromechanics of laminae, i.e., the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. In detail, predictions for the modulus of elasticity in and transverse to the fiber direction, the major Poisson's ratio, as wells as the in-plane shear modulus are provided. The mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin-Tsai relationships, are presented in detail.

Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical engineering materials. Particularly the combination of a matrix with fibers provides far better properties than the single constituents alone. A typical basic layer, the so-called lamina, can be composed of unidirectional fibers which are embedded in a matrix. In a second step, layers of laminae may be stacked under different fiber angles to a so-called laminate, which revealsdepending on the stacking sequencedifferent types of anisotropy/isotropy.

A Python-based computational tool is provided, the so-called Micromechanics Analysis Tool (MMAT v1.0) to easily predict the elastic properties. The tool runs in any standard web browser and offers a user-friendly interface with many graphical representations of the elastic properties as a function of the fiber volume fraction.

Provides numerical solutions to model the micromechanics of laminae Includes a Python-based computational tool to easily predict the elastic properties Approaches the elasticity solutions with contiguity after Tsai and the Halpin-Tsai relationships

Autorentext

Andreas Öchsner is Full Professor of Lightweight Design and Structural Simulation at Esslingen University of Applied Sciences, Germany. After completing his Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), he served as Research and Teaching Assistant at the University of Erlangen-Nuremberg from 1997 to 2003 while pursuing his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007-2013) as Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab. From 2014 to 2017, he was Full Professor at the School of Engineering, Griffith University, Australia, and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director). Resam Makvandi is presently leading the computational department in the Acandis GmbH. He received his Ph.D. at the Institute of Mechanics, Otto von Guericke University of Magdeburg, Germany. He completed his B.Sc. degree at the Islamic Azad University, Ahvaz Branch, Iran (2010), and his M.Eng. degree at the University of Technology, Malaysia (2013), both in Mechanical Engineering.

Inhalt

Introduction.- Prediction of Elastic Properties of Laminae.- Micromechanics Analysis Tool MMAT v1.0.- Application Examples.- Source Codes.