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Materials Science: Linear Elasticity
Master the fundamentals of linear elastic behavior in materials through this comprehensive engineering course from MIT.
Master the fundamentals of linear elastic behavior in materials through this comprehensive engineering course from MIT.
This intermediate-level course explores the mechanical behavior of materials from both continuum and atomistic perspectives. You'll study stress-strain relationships, linear elasticity principles, and composite materials. The course combines theoretical foundations with practical applications, examining materials ranging from metals and ceramics to polymers and biomaterials. Through detailed analysis of material properties, you'll learn how forces and displacements translate into stress and strain distributions, understanding the atomic basis for elastic behavior. This is the first part of MIT's three-course series on mechanical behavior of materials.
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What you'll learn
Understand the behavior and properties of linear elastic materials
Master the atomic basis and mechanisms of linear elasticity
Solve complex problems involving stress, strain, and strain energy
Analyze stress-strain relationships in engineering materials
Examine composite materials and their mechanical properties
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
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There are 5 modules in this course
This comprehensive course explores fundamental concepts in materials science and linear elasticity. The curriculum begins with the basics of normal and shear stress and strain, introducing Hooke's law for isotropic materials. Students then advance to three-dimensional stress states and strain energy concepts. The course covers anisotropic materials, composite materials, and their symmetry properties. The atomic basis for elasticity is examined, including bonding between atoms, thermal strain, and the unique case of rubber elasticity. Throughout the course, emphasis is placed on understanding both the theoretical principles and their practical applications.
Stress and Strain Fundamentals
Module 1 · 12 Hours to complete
Advanced Stress Analysis
Module 2 · 12 Hours to complete
Material Properties and Composites
Module 3 · 12 Hours to complete
Atomic and Thermal Effects
Module 4 · 12 Hours to complete
Final Assessment
Module 5 · 12 Hours to complete
Fee Structure
Instructors
1 Course
Educational Innovation Leader Advancing Materials Science Learning
Jessica Sandland serves as Principal Lecturer in MIT's Department of Materials Science and Engineering, where she leads online learning initiatives and digital education innovation. After earning her PhD in electronic materials from MIT, she has established herself as a pioneer in materials science education through developing massive open online courses (MOOCs) and blended learning experiences. Her work includes overseeing numerous DMSE online courses, including Innovation and Commercialization, Mechanical Behavior of Materials, and Electronic, Optical and Magnetic Properties of Materials. As co-founder of the MICRO program and senior member of Open Learning's Digital Learning Laboratory, her research on peer review in online courses and use of humor in MOOCs has earned multiple honors, including Best Paper awards at IEEE LWMOOCs Conference and the 2019 MITx Prize for Teaching and Learning in MOOCs. Through her innovative approach to digital education and course development, she continues to advance materials science education while making technical knowledge more accessible to learners worldwide.
Pioneer in Cellular Materials and Biomechanical Engineering
Lorna Jane Gibson has established herself as a distinguished materials scientist and engineer at MIT, where she holds the position of Matoula S. Salapatas Professor of Materials Science and Engineering. Her academic journey began with a Bachelor of Applied Science in Civil Engineering from the University of Toronto in 1978, followed by a Ph.D. in Materials Engineering from the University of Cambridge in 1981, focusing on the elastic and plastic behavior of cellular materials. After working as a Senior Engineer at Arctec Canada Ltd. and serving as an Assistant Professor at the University of British Columbia from 1982 to 1984, she joined MIT where she has made significant contributions to materials science and engineering. Gibson's groundbreaking research focuses on cellular materials, including engineering honeycombs, foams, natural materials like wood and bamboo, and medical materials such as trabecular bone and tissue engineering scaffolds. She co-founded OrthoMimetics Ltd. in 2005, which was later acquired by TiGenix for £14.3 million. Throughout her career at MIT, Gibson has held several leadership positions, including Chair of the Faculty from 2005-2006 and Associate Provost from 2006-2008. Her excellence in teaching earned her recognition as a MacVicar Faculty Fellow, MIT's highest award for undergraduate teaching. Gibson has authored several influential books, including "Cellular Solids: Structure and Properties" and "Cellular Materials in Nature and Medicine". Her recent research projects have expanded to include aerogels for thermal insulation, nanofibrillar cellulose foams, and the mechanics of plant materials.
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