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Introductory Mechanics of Materials/Material Behavior

• Introductory Mechanics of Materials, M. A. Vable, Michigan Tech.
• Intermediate Mechanics of Materials , M. A. Vable, Michigan Tech.
• Materials of Engineering Laboratory, Eyassu Woldesenbet and Henry Tan, Louisiana State University.
• Statics (Homework Sets) , Jacob Lubliner, UC Berkeley.
• Mechanics of Materials , Jacob Lubliner, UC Berkeley.

Continuum Mechanics

• Introduction to Continuum Mechanics, Paul Naghdi, UC Berkeley.
• Solid Mechanics textbook, A.F. Bower, Brown University
• Items developed for teaching, James R. Rice, Harvard University
• ES 240 Solid Mechanics, Zhigang Suo, Harvard University.
• EN 175 Advanced Mechanics of Solids, H. Gao and A. F. Bower, Brown University (needs Java/Internet Explorer).
• EN 222 Mechanics of Solids II, A. F. Bower, Brown University (needs Java/Internet Explorer).
• Large deformation kinematics, Rebecca Brannon , University of Utah.

Elasticity

• EN 224 Linear Elasticity, A. F. Bower, Brown University (needs Java/Internet Explorer).
• Introduction to Elasticity, Wikiversity .

Plasticity

• Plasticity Theory, Jacob Lubliner, UC Berkeley.

Viscoelasticity

• Linear viscoelasticity, David Roylance, MIT.
• Viscoelasticity, Zhigang Suo, Harvard University

Poroelasticity

• Poroelasticity, James R. Rice, Harvard University
• Fundamentas of Poroelasticity, Emmanuel Detournay and Alexander H.-D. Cheng
• Poroelasticity, Zhigang Suo, Harvard University

Fracture Mechanics

• Nonlinear Fracture Mechanics, J.W. Hutchinson, Harvard University.
• Fracture Mechanics, Alan Zehnder, Cornell University
• Introduction to Fracture Mechanics, C.H. Wang
• Fracture Mechanics, Zhigang Suo, Harvard University
• ES 242r Fracture Mechanics of Thin Films and Composite Materials, John W. Hutchinson and Zhigang Suo, Harvard University

Stability

• Stability of Media and Structures, John R.Willis, The University of Cambridge 
• Instabilities, Zhigang Suo, Harvard University

Evolving structures

• Evolving small structures, Zhigang Suo, Harvard University

Biomechanics

• Summer course on cell mechano-sensitivity (slides and videos), Univerity of Illinois, Urbana-Champaign

Soft Materials

• ES 241 Advanced Elasticity, Zhigang Suo, Harvard University.
• Mechanics of Soft Materials, Konstantin Volokh, Technion

Thin Films and Layered Materials

• Mechanical Properties of Thin Films, William D. Nix, Stanford University
• Fracture Mechanics of Thin Films and Multilayers, John W. Hutchinson, Harvard University
• Mixed-Mode Cracking in Layered Materials, John W. Hutchinson and Zhigang Suo
• Reliability of Interconnect Structures, Zhigang Suo, Harvard University

Composites and Metamaterials

• Mechanics of Composites, John R. Willis, The University of Cambridge
• Waves in Composites and Metamaterials, Graeme W. Milton and Biswajit Banerjee, University of Utah.

Shape Memory Materials

•  Theory of Martensitic Microstructure and the Shape Memory Effect , Kaushik Bhattacharya, CalTech.

Statistical Mechanics

• Statistical Mechanics by James P. Sethna, Cornell University (this has actually been published as a book).
• Statistical Mechanics, Zhigang Suo, Harvard University.

Computational Physics/Mechanics

• Computational Physics, R. J. Gonsalves, SUNY Buffalo (the earliest notes are at the bottom of the page).
• Computational Physics, Franz J. Vesely, University of Vienna (the jsmath version works - may need installation of new fonts).

Finite Elements

• Finite Element Procedures for Solids and Structures, Video Lectures, Klaus-Jurgen Bathe, Massachusetts Institute of Technology.
• Finite Element Analysis of Solids and Fluids I, Klaus-Jurgen Bathe, Massachusetts Institute of Technology.
• Finite Element Analysis of Solids and Fluids II, Klaus-Jurgen Bathe, Massachusetts Institute of Technology.
• Finite Elements in One Dimension , N. Sukumar, University of California at Davis.
• Introductory Finite Element Analysis , Carlos Felippa, University of Colorado, Boulder.
• Introduction to Finite Elements , M. A. Vable, Michigan Tech.
• Advanced Finite Element Analysis , Carlos Felippa, University of Colorado, Boulder.
• Nonlinear Finite Element Analysis , Carlos Felippa, University of Colorado, Boulder.
• Nonlinear Finite Elements , Biswajit Banerjee, University of Utah.

Mathematics for Mechanics

• A Brief Review of Some Mathematical Preliminaries, Rohan Abeyaratne, MIT.
• Quick Introduction to Tensor Analysis ,  R. A. Shapirov, Samizdat Free Press.
• Elementary vector and tensor analysis for Engineers, Rebecca Brannon , University of Utah.
• Rotations, Rebecca Brannon , University of Utah.
• Curvilinear coordinates, Rebecca Brannon , University of Utah.

Classical Physics

• Ph 136 Applications of Classical Physics , Kip Thorne, Caltech.

Quantum Mechanics/Chemistry

• Quantum Physics Made Relatively Simple, videos of three lectures by Hans Bethe, winner of the Nobel Prize in 1967. 
• Quantum Mechanics for Engineers , Leon van Dommelen, Florida State University
• Quantum Chemistry , S. M. Blinder, UMich. 

Other Lecture Note Collections

• Civil Engineer Applied Mechanics Lecture Notes Collection .
• MIT Open Courseware.
• World Lecture Hall from University of Texas, Austin.
• Erudix - Online repository of Lecture notes/Theses/Papers.

Other  E-book Collections

• IMSC Library - e-books on all aspects of mathematics.
• Samizdat Press - a press for the free distribution of books.
• Library.nu - A large number of excellent textbooks free online