1.

Record Nr.

UNINA9910366605403321

Autore

Öchsner Andreas

Titolo

Partial Differential Equations of Classical Structural Members : A Consistent Approach / / by Andreas Öchsner

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-35311-7

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (VIII, 92 p. 75 illus., 28 illus. in color.)

Collana

SpringerBriefs in Continuum Mechanics, , 2625-1337

Disciplina

531

515.353

Soggetti

Mechanics

Differential equations

Mechanics, Applied

Solids

Classical Mechanics

Differential Equations

Solid Mechanics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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. .