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Partial Differential Equations of Classical Structural Members [electronic resource] : A Consistent Approach / by Andreas Öchsner.

By: Öchsner, Andreas [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Continuum Mechanics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: VIII, 92 p. 75 illus., 28 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030353117.Subject(s): Mechanics | Differential equations | Mechanics, Applied | Solids | Classical Mechanics | Differential Equations | Solid MechanicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 531 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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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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. .

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