Partial differential equations of classical structural members : a consistent approach /

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Bibliographic Details
Author / Creator:Öchsner, Andreas, author.
Imprint:Cham, Switzerland : Springer, [2020]
Description:1 online resource (viii, 92 pages) : illustrations (some color)
Language:English
Series:SpringerBriefs in applied sciences and technology, Continuum mechanics, 2625-1329
SpringerBriefs in applied sciences and technology. Continuum Mechanics,
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12602455
Hidden Bibliographic Details
ISBN:9783030353117
3030353117
9783030353100
3030353109
Notes:Includes bibliographical references.
Online access available only to subscribers.
Online resource; title from digital title page (viewed on April 09, 2020).
Summary: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.
Other form:Print version: Öchsner, Andreas. Partial differential equations of classical structural members. Cham, Switzerland : Springer, [2020] 3030353109 9783030353100
Standard no.:10.1007/978-3-030-35311-7

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505 0 |a Intro; Preface; Contents; 1 Introduction to structural modeling; References; 2 Rods or bars; 2.1 Introduction; 2.2 Kinematics; 2.3 Constitution; 2.4 Equilibrium; 2.5 Differential equation; References; 3 Euler-Bernoulli beams; 3.1 Introduction; 3.2 Kinematics; 3.3 Constitution; 3.4 Equilibrium; 3.5 Differential equation; References; 4 Timoshenko beams; 4.1 Introduction; 4.2 Kinematics; 4.3 Equilibrium; 4.4 Constitution; 4.5 Differential equation; References; 5 Plane members; 5.1 Introduction; 5.2 Kinematics; 5.3 Constitution; 5.3.1 Plane stress case; 5.3.2 Plane strain case; 5.4 Equilibrium 
505 8 |a 5.5 Differential equation; References; 6 Classical plates; 6.1 Introduction; 6.2 Kinematics; 6.3 Constitution; 6.4 Equilibrium; 6.5 Differential equation; References; 7 Shear deformable plates; 7.1 Introduction; 7.2 Kinematics; 7.3 Constitution; 7.4 Equilibrium; 7.5 Differential equation; References; 8 Three-dimensional solids; 8.1 Introduction; 8.2 Kinematics; 8.3 Constitution; 8.4 Equilibrium; 8.5 Differential equation; References; 9 Introduction to transient problems : rods or bars; 9.1 Introduction; 9.2 Kinematics; 9.3 Constitution; 9.4 Equilibrium; 9.5 Differential Equation; References 
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588 0 |a Online resource; title from digital title page (viewed on April 09, 2020). 
506 |a Online access available only to subscribers. 
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