02868nam 22005895 450 991036660540332120251113204213.03-030-35311-710.1007/978-3-030-35311-7(CKB)4100000009759144(DE-He213)978-3-030-35311-7(MiAaPQ)EBC5977070(EXLCZ)99410000000975914420191107d2020 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierPartial Differential Equations of Classical Structural Members A Consistent Approach /by Andreas Öchsner1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (VIII, 92 p. 75 illus., 28 illus. in color.)SpringerBriefs in Continuum Mechanics,2625-13373-030-35310-9 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. .SpringerBriefs in Continuum Mechanics,2625-1337MechanicsDifferential equationsMechanics, AppliedSolidsClassical MechanicsDifferential EquationsSolid MechanicsMechanics.Differential equations.Mechanics, Applied.Solids.Classical Mechanics.Differential Equations.Solid Mechanics.531515.353Öchsner Andreasauthttp://id.loc.gov/vocabulary/relators/aut317948MiAaPQMiAaPQMiAaPQBOOK9910366605403321Partial Differential Equations of Classical Structural Members2220289UNINA