Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Statics and Influence Functions = Fr...
~
Hartmann, Friedel.
Statics and Influence Functions = From a Modern Perspective /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Statics and Influence Functions/ by Friedel Hartmann, Peter Jahn.
Reminder of title:
From a Modern Perspective /
Author:
Hartmann, Friedel.
other author:
Jahn, Peter.
Description:
XV, 464 p. 289 illus., 272 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Computational Mathematics and Numerical Analysis. -
Online resource:
https://doi.org/10.1007/978-3-030-55889-5
ISBN:
9783030558895
Statics and Influence Functions = From a Modern Perspective /
Hartmann, Friedel.
Statics and Influence Functions
From a Modern Perspective /[electronic resource] :by Friedel Hartmann, Peter Jahn. - 2nd ed. 2021. - XV, 464 p. 289 illus., 272 illus. in color.online resource. - Springer Series in Solid and Structural Mechanics,132195-352X ;. - Springer Series in Solid and Structural Mechanics,4.
Foundation -- Betti's Theorem -- Finite Elements -- Betti Extended -- Stiffness Changes and Reanalysis -- Singularities -- Mixed formulations -- Nonlinear Problems.
This extended and revised second edition is intended for engineering students and researchers working with finite element methods in structural and mechanical analysis. Discussing numerical structural analysis from first mechanical and mathematical principles, it establishes the central role of influence functions (Green's functions) in linear computational mechanics. The main features of the book are mentioned below. · Introducing Green's first and second identity as the core theorems of statics and mechanics. Formulation of the variational and energy principles of mechanics with an emphasis on the computational aspects and on the qualitative features of variational solutions. · Derivation of influence functions from duality principles, the distinction between weak and strong influence functions, the difference between monopoles and dipoles and how amputated dipoles lead to singularities, and how singularities on the boundary pollute the solution inside the domain - an unavoidable effect in 2-D and 3-D. · A detailed discussion of the various features of the finite element method and the key role of the notion of “shake-equivalence" as originally introduced by Turner et alt. Establishing that in linear finite element analysis the accuracy depends on the accuracy of the influence functions. Introducing Betti extended as a core theorem of finite element analysis. · A systematic treatment of the role which Green's functions play in reanalysis, sensitivity analysis, parameter identification and in optimization. Explaining why averaging material parameters succeeds and how local stiffness changes can be identified with the action of equilibrium forces f+. · Presenting a new technique, one-click reanalysis, which allows to make modifications to a structure by clicking on single elements and seeing directly the new shape, bypassing the need to solve the modified system. · Four programs for the solution of the Poisson equation, 2-D elasticity, plate-bending problems and planar frames are offered for download in this second edition. These are all-purpose programs but with a particular emphasis on influence functions. The frame program also demonstrates one-click reanalysis.
ISBN: 9783030558895
Standard No.: 10.1007/978-3-030-55889-5doiSubjects--Topical Terms:
669338
Computational Mathematics and Numerical Analysis.
LC Class. No.: TA349-359
Dewey Class. No.: 531
Statics and Influence Functions = From a Modern Perspective /
LDR
:03811nam a22004095i 4500
001
1049576
003
DE-He213
005
20211126132944.0
007
cr nn 008mamaa
008
220103s2021 sz | s |||| 0|eng d
020
$a
9783030558895
$9
978-3-030-55889-5
024
7
$a
10.1007/978-3-030-55889-5
$2
doi
035
$a
978-3-030-55889-5
050
4
$a
TA349-359
072
7
$a
TGMD
$2
bicssc
072
7
$a
SCI096000
$2
bisacsh
072
7
$a
TGMD
$2
thema
082
0 4
$a
531
$2
23
100
1
$a
Hartmann, Friedel.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1071074
245
1 0
$a
Statics and Influence Functions
$h
[electronic resource] :
$b
From a Modern Perspective /
$c
by Friedel Hartmann, Peter Jahn.
250
$a
2nd ed. 2021.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2021.
300
$a
XV, 464 p. 289 illus., 272 illus. in color.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Springer Series in Solid and Structural Mechanics,
$x
2195-352X ;
$v
13
505
0
$a
Foundation -- Betti's Theorem -- Finite Elements -- Betti Extended -- Stiffness Changes and Reanalysis -- Singularities -- Mixed formulations -- Nonlinear Problems.
520
$a
This extended and revised second edition is intended for engineering students and researchers working with finite element methods in structural and mechanical analysis. Discussing numerical structural analysis from first mechanical and mathematical principles, it establishes the central role of influence functions (Green's functions) in linear computational mechanics. The main features of the book are mentioned below. · Introducing Green's first and second identity as the core theorems of statics and mechanics. Formulation of the variational and energy principles of mechanics with an emphasis on the computational aspects and on the qualitative features of variational solutions. · Derivation of influence functions from duality principles, the distinction between weak and strong influence functions, the difference between monopoles and dipoles and how amputated dipoles lead to singularities, and how singularities on the boundary pollute the solution inside the domain - an unavoidable effect in 2-D and 3-D. · A detailed discussion of the various features of the finite element method and the key role of the notion of “shake-equivalence" as originally introduced by Turner et alt. Establishing that in linear finite element analysis the accuracy depends on the accuracy of the influence functions. Introducing Betti extended as a core theorem of finite element analysis. · A systematic treatment of the role which Green's functions play in reanalysis, sensitivity analysis, parameter identification and in optimization. Explaining why averaging material parameters succeeds and how local stiffness changes can be identified with the action of equilibrium forces f+. · Presenting a new technique, one-click reanalysis, which allows to make modifications to a structure by clicking on single elements and seeing directly the new shape, bypassing the need to solve the modified system. · Four programs for the solution of the Poisson equation, 2-D elasticity, plate-bending problems and planar frames are offered for download in this second edition. These are all-purpose programs but with a particular emphasis on influence functions. The frame program also demonstrates one-click reanalysis.
650
2 4
$a
Computational Mathematics and Numerical Analysis.
$3
669338
650
2 4
$a
Building Construction and Design.
$3
1114677
650
1 4
$a
Solid Mechanics.
$3
1211586
650
0
$a
Computer mathematics.
$3
1199796
650
0
$a
Engineering, Architectural.
$3
845652
650
0
$a
Construction.
$3
1254179
650
0
$a
Building.
$3
557609
650
0
$a
Buildings—Design and construction.
$3
1254621
650
0
$a
Mechanics, Applied.
$3
596630
650
0
$a
Mechanics.
$3
527684
700
1
$a
Jahn, Peter.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1140104
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030558888
776
0 8
$i
Printed edition:
$z
9783030558901
776
0 8
$i
Printed edition:
$z
9783030558918
830
0
$a
Springer Series in Solid and Structural Mechanics,
$x
2195-3511 ;
$v
4
$3
1265736
856
4 0
$u
https://doi.org/10.1007/978-3-030-55889-5
912
$a
ZDB-2-ENG
912
$a
ZDB-2-SXE
950
$a
Engineering (SpringerNature-11647)
950
$a
Engineering (R0) (SpringerNature-43712)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login