MECHANICS OF MATERIALS

This unique compendium covers the fundamental principles of mechanics of materials, focusing on the mechanical behaviour of structural members under various types of loads, including axial loading, bending, shearing, and torsion. The members can have various shape and constrained in different ways. Concepts of energy and failure criteria are also included.

The useful text/reference book is written in Jupyter notebook format, so that description of theory, formulation, and coding can all be done in a unified document. This provides an environment for easy reading, exercise, practicing, and further exploration.

Contents:

• Introduction
• Preliminaries: Number, Vector, Tensor, and Functions
• Forces and Stresses
• Displacements and Strains
• Elasticity Tensor and Constitutive Equations
• Equilibrium Equations
• Solution to Axially Loaded Bars
• Solution to Bended Beams
• Torsion of Bars
• Property of Areas
• Normal Stress by Moments
• Shear Stress by Shear Force
• Energy Methods
• Failure Criteria and Failure Analysis

Readership: Researchers, professionals, academics and graduate students in engineering mechanics, mechanical engineering and aerospace engineering.

Gui-Rong Liu received his PhD from Tohoku University, Japan, in 1991. He was a Postdoctoral Fellow at Northwestern University, USA, from 1991–1993. He was a Professor at the National University of Singapore until 2010. He is currently a Professor at the Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, USA. He was the Founder of the Association for Computational Mechanics (Singapore) (SACM) and served as the President of SACM until 2010. He served as the President of the Asia-Pacific Association for Computational Mechanics (APACM) (2010–2013) and an Executive Council Member of the International Association for Computational Mechanics (IACM) (2005–2010; 2020–2026). He authored a large number of journal papers and books including two bestsellers: Mesh Free Method: Moving Beyond the Finite Element Method and Smoothed Particle Hydrodynamics: A Meshfree Particle Methods. He is the Editor-in-Chief of the International Journal of Computational Methods and served as an Associate Editor for IPSE and MANO. He is the recipient of numerous awards, including the Singapore Defence Technology Prize, NUS Outstanding University Researcher Award, NUS Best Teacher Award, APACM Computational Mechanics Award, JSME Computational Mechanics Award, ASME Ted Belytschko Applied Mechanics Award, Zienkiewicz Medal from APACM, the AJCM Computational Mechanics Award, and the Humboldt Research Award. SACM Medal from the Association of Computational Mechanics (Singapore). He has been listed as one among the world's top 1% most influential scientists (Highly Cited Researchers) by Thomson Reuters for a number of years.