Fung-a First Course In Continuum Mechanics.pdf !!link!!
Some common examples of nonlinear elastic materials include:
offers a more modern, mathematically unified treatment, introducing the subject's core ideas in a consistent framework from fundamental principles. While still providing a concise, classic account of fluids and solids, it places a stronger emphasis on the underlying mathematical structure in a way that is particularly appealing to applied mathematicians. Fung-a first course in continuum mechanics.pdf
: The text focuses on the physical reality of how materials behave, rather than getting lost in the abstract mathematics typical of advanced rational mechanics. Problem Formulation Some common examples of nonlinear elastic materials include:
| | | Gonzalez & Stuart's Modern Text (Cambridge) | | --- | --- | --- | | Primary Editions | 1st (1969), 2nd (1977), 3rd (1994) | 1st (2008) | | Target Audience | Engineers, physical & biological scientists | Applied mathematicians & engineers | | Style & Emphasis | Problem formulation, physical intuition, derivations of governing equations for applications | Unified derivation of balance laws (e.g., isothermal and thermal theories) | | Learning Aids | Chapter problems; supplementary notes and problem solutions are available for earlier editions | Extensive exercises with fully worked solutions to odd-numbered questions; a complete solutions manual is available to instructors | | Prerequisites | Not explicitly stated, but assumes standard engineering mathematics background | Basic linear algebra and differential equations | Problem Formulation | | | Gonzalez & Stuart's
| Chapter | Title | |:---|:---| | 1 | Tensor algebra | | 2 | Tensor calculus | | 3 | Continuum mass and force concepts | | 4 | Kinematics | | 5 | Balance laws | | 6 | Isothermal fluid mechanics | | 7 | Isothermal solid mechanics | | 8 | Thermal fluid mechanics | | 9 | Thermal solid mechanics |
The mathematical framework of continuum mechanics is based on the following fundamental equations:
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