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Partial Differential Equations of Classical Structural Members

A Consistent Approach

Andreas Öchsner

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mechanik, Akustik

Beschreibung

The derivation and understanding of Partial Differential Equations relies heavily on the fundamental knowledge of the first years of scientific education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills. Thus, it is a challenging topic for prospective engineers and scientists.

This volume provides a compact overview on the classical Partial Differential Equations of structural members in mechanics. It offers a formal way to uniformly describe these equations. All derivations follow a common approach: the three fundamental equations of continuum mechanics, i.e., the kinematics equation, the constitutive equation, and the equilibrium equation, are combined to construct the partial differential equations. 

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Schlagwörter

partial differential equations, Shear Deformable Plats, Timoshenko Beams, Mechanical Members, Transient Problems, Continuum Mechanics, Euler-Bernoulli Beams