Lecture Notes on the Theory of Plates and Shells

David J. Steigmann is Professor in the Department of Mechanical Engineering, University of California, Berkeley. He is Fellow of the Society of Engineering Science (Elected 2010), Lecturer, Midwest Mechanics Tour (2009–10 academic year) and Visiting Research Professor, 2013 and 2015: Universita di Roma, la Sapienza. He is Recipient of Levi-Civita Prize, 2013. He is Recipient of Engineering Science Medal, conferred by the Society of Engineering Science, for ‘Singular Contributions to Engineering Science’ (2013). A special issue of the journal Continuum Mechanics and Thermodynamics is dedicated to D.J. Steigmann.Mircea Bîrsan is Professor, Faculty of Mathematics, University Duisburg-Essen, Germany (since 2014), and Associate Professor, Department of Mathematics, University "Alexandru Ioan Cuza" of Iasi, Romania (2007–2013). He is Recipient of the prizes "Gheorghe Lazar" of the Romanian Academy (2007) for the contributions on the deformation of elastic Cosserat shells and "Nicolae Teodorescu" of the Academy of Romanian Scientists (2012) for the articles published in 2010–2011.Milad Shirani earned his Ph.D. from the Department of Mechanical Engineering at the University of California, Berkeley. He was the recipient of the Robert F. Steidel Fellowship (UC Berkeley) in 2021 and the Paul Naghdi Fellowship (UC Berkeley) in 2020.

• Chapter 1. Tensor Analysis in Euclidean Space Using Curvilinear Coordinates.- Chapter 2. Local Geometry of Deformation.- Chapter 3. Hyperelastic Solids: Purely Mechanical Theory.- Chapter 4. Linearly elastic plates.- Chapter 5. Linear Shell Theory.- Chapter 6. Nonlinear equations for plates and shells.- Chapter 7. Buckling of elastic plates.- Chapter 8. Saint-Venant Problem for general cylindrical shells.