note provides an introduction to the mechanics of solids with
applications to science and engineering. Itemphasize the three essential
features of all mechanics analyses, namely: (a) the geometry of the
motion and/or deformation of the structure, and conditions of geometric
fit, (b) the forces on and within structures and assemblages; and (c)
the physical aspects of the structural system which quantify relations
between the forces and motions/deformation.
Author(s): Prof. Carol Livermore, Prof.
Henrik Schmidt, Prof. James H. Williams, Prof. Simona Socrate
This note explores the
nature of rocks and rock masses as construction, foundation, or
engineering materials. Topics covered include: Physical properties of
intact rocks, stresses and strains, thermal, hydraulic and mechanical
properties of rocks and rock masses, applications of theory of
elasticity in rock mechanics, visco-elasticity, rock discontinuities,
hemispherical projection methods, in situ stresses and stress
measurements, rock slope engineering and underground excavations in
covers the following topics: Elemantary Principles, Lagrange's
Equations, Hamilton's Principle, Central Force - Kepler Problem, Rigid
Body Motion and Kinematics, Oscillations, Special Relativity,
Hamiltonian Equations, Canonical Transformations, Continuous Systems and
Fields, Relativistic Field Theory.
This book is the result of the
experience of the writer in teaching the subject of Applied Mechanics at the
Massachusetts Institute of Technology. It is primarily a text-book ; and
hence the writer has endeavored to present the different subjects in such a
way as seemed to him best for the progress of the class, even though it be
at some sacrifice of a logical order of topics.
There is a strong
emphasis of classical mechanics with closeness to physics and
engineering. Among the topics explored: linear and nonlinear
oscillators; quasi-periodic and multiperiodic motions; systems with
constraints; Hamilton-Jacobi theory; integrable systems; stability
problems of dissipative and conservative systems. Numerous exercises
accompany the text, but the author assumes a knowledge of calculus.
note covers the following topics: Matrix Algebra and Indicial Notation, Vectors and Linear Transformations,
Components of Tensors. Cartesian Tensors, Symmetry: Groups of Linear
Transformations, Calculus of Vector and Tensor Fields, Orthogonal Curvilinear
Coordinates, Calculus of Variations.