Partial Differential Equations of Classical Structural Members : A Consistent Approach

Öchsner, Andreas.

Partial Differential Equations of Classical Structural Members : A Consistent Approach by Andreas Öchsner. - 1st ed. 2020. - 1 recurso en línea (VIII, 92 páginas) 75 ilustraciones, 28 ilustraciones a color. - SpringerBriefs in Continuum Mechanics 2625-1329 .

Introduction to structural modeling -- Rods or bars -- Euler-Bernoulli beams -- Timoshenko beams -- Plane members -- Classical plates -- Shear deformable plates -- Three-dimensional solids -- Introduction to transient problems: Rods or bars.

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. .

9783030353117

10.1007/978-3-030-35311-7 doi


Ecuaciones en derivadas parciales

QA377 / 2020 EB