Applied Mechanics of Solids is a free text on finite element analysis by Allan F Bower, who seems to have a gift for clear explanation of the topic combined with a wry sense of humour; not a combination you see every day in this field:
“This electronic text summarizes the physical laws, mathematical methods, and computer algorithms that are used to predict the response of materials and structures to mechanical or thermal loading.
Topics include: the mathematical descriptions of deformation and forces in solids; constitutive laws; analytical techniques and solutions to linear elastic and elastic-plastic boundary value problems; the use and theory of finite element analysis; fracture mechanics; and the theory of deformable rods, plates and shells.
Over 400 practice problems are provided, as well as demonstration finite element codes in MAPLE and MATLAB.
The text is intended for advanced undergraduate or graduate students, as well as practicing engineers and scientists. It will be particularly useful to readers who wish to learn enough about solid mechanics to impress their teachers, colleagues, research advisors, or managers, but who would prefer not to study the subject in depth.”