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manual.toc
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\contentsline
{
chapter
}{
\numberline
{
1
}
Introduction
}{
1
}{
chapter.1
}
\contentsline
{
chapter
}{
\numberline
{
2
}
Getting Started
}{
3
}{
chapter.2
}
\contentsline
{
section
}{
\numberline
{
2.1
}
Downloading the Code
}{
3
}{
section.2.1
}
\contentsline
{
section
}{
\numberline
{
2.2
}
Compiling
{
\texttt
{
\textbf
{
Akantu
}}}
\xspace
}{
3
}{
section.2.2
}
\contentsline
{
section
}{
\numberline
{
2.3
}
Writing a
\texttt
{
main
}
Function
}{
3
}{
section.2.3
}
\contentsline
{
section
}{
\numberline
{
2.4
}
Creating and Loading a Mesh
}{
4
}{
section.2.4
}
\contentsline
{
section
}{
\numberline
{
2.5
}
Using
\texttt
{
Arrays
}}{
4
}{
section.2.5
}
\contentsline
{
subsection
}{
\numberline
{
2.5.1
}
Vector
\&
Matrix
}{
6
}{
subsection.2.5.1
}
\contentsline
{
subsubsection
}{
\texttt
{
Vector<T>
}}{
6
}{
section*.2
}
\contentsline
{
subsubsection
}{
\texttt
{
Matrix<T>
}}{
6
}{
section*.3
}
\contentsline
{
section
}{
\numberline
{
2.6
}
Manipulating group of nodes and/or elements
}{
7
}{
section.2.6
}
\contentsline
{
subsection
}{
\numberline
{
2.6.1
}
The
\texttt
{
NodeGroup
}
object
}{
8
}{
subsection.2.6.1
}
\contentsline
{
subsection
}{
\numberline
{
2.6.2
}
The
\texttt
{
ElementGroup
}
object
}{
8
}{
subsection.2.6.2
}
\contentsline
{
chapter
}{
\numberline
{
3
}
Elements
}{
9
}{
chapter.3
}
\contentsline
{
section
}{
\numberline
{
3.1
}
Isoparametric Elements
}{
9
}{
section.3.1
}
\contentsline
{
section
}{
\numberline
{
3.2
}
Cohesive Elements
}{
11
}{
section.3.2
}
\contentsline
{
section
}{
\numberline
{
3.3
}
Structural Elements
}{
13
}{
section.3.3
}
\contentsline
{
chapter
}{
\numberline
{
4
}
Solid Mechanics Model
}{
15
}{
chapter.4
}
\contentsline
{
section
}{
\numberline
{
4.1
}
Model Setup
}{
16
}{
section.4.1
}
\contentsline
{
subsection
}{
\numberline
{
4.1.1
}
Setting Initial Conditions
}{
16
}{
subsection.4.1.1
}
\contentsline
{
subsection
}{
\numberline
{
4.1.2
}
Setting Boundary Conditions
}{
16
}{
subsection.4.1.2
}
\contentsline
{
subsection
}{
\numberline
{
4.1.3
}
Material Selector
}{
18
}{
subsection.4.1.3
}
\contentsline
{
subsection
}{
\numberline
{
4.1.4
}
Insertion of Cohesive Elements
}{
19
}{
subsection.4.1.4
}
\contentsline
{
subsubsection
}{
Dynamics
}{
19
}{
section*.22
}
\contentsline
{
subsubsection
}{
Statics
}{
20
}{
section*.23
}
\contentsline
{
section
}{
\numberline
{
4.2
}
Static Analysis
}{
20
}{
section.4.2
}
\contentsline
{
section
}{
\numberline
{
4.3
}
Dynamic Methods
}{
22
}{
section.4.3
}
\contentsline
{
subsection
}{
\numberline
{
4.3.1
}
Implicit Time Integration
}{
23
}{
subsection.4.3.1
}
\contentsline
{
subsection
}{
\numberline
{
4.3.2
}
Explicit Time Integration
}{
24
}{
subsection.4.3.2
}
\contentsline
{
section
}{
\numberline
{
4.4
}
Constitutive Laws
}{
26
}{
section.4.4
}
\contentsline
{
subsection
}{
\numberline
{
4.4.1
}
Elasticity
}{
27
}{
subsection.4.4.1
}
\contentsline
{
subsubsection
}{
Linear isotropic
\xspace
(
\ref
{
ssect:smm:linear-elastic-isotropic-app
}
)
}{
27
}{
section*.29
}
\contentsline
{
subsubsection
}{
Linear anisotropic
\xspace
(
\ref
{
ssect:smm:linear-elastic-anisotropic-app
}
)
}{
28
}{
section*.31
}
\contentsline
{
subsubsection
}{
Linear orthotropic
\xspace
(
\ref
{
ssect:smm:linear-elastic-orthotropic-app
}
)
}{
29
}{
section*.33
}
\contentsline
{
subsection
}{
\numberline
{
4.4.2
}
Neo-Hookean
\xspace
(
\ref
{
ssect:smm:cl:neohookean-app
}
)
}{
29
}{
subsection.4.4.2
}
\contentsline
{
subsection
}{
\numberline
{
4.4.3
}
Visco-Elasticity
\xspace
(
\ref
{
ssect:smm:cl:sls-app
}
)
}{
30
}{
subsection.4.4.3
}
\contentsline
{
subsection
}{
\numberline
{
4.4.4
}
Small-Deformation Plasticity
\xspace
(
\ref
{
ssect:smm:cl:plastic-app
}
)
}{
31
}{
subsection.4.4.4
}
\contentsline
{
subsection
}{
\numberline
{
4.4.5
}
Damage
}{
33
}{
subsection.4.4.5
}
\contentsline
{
subsubsection
}{
Marigo
\xspace
(
\ref
{
ssect:smm:cl:damage-marigo-app
}
)
}{
33
}{
section*.37
}
\contentsline
{
subsubsection
}{
Mazars
\xspace
(
\ref
{
ssect:smm:cl:damage-mazars-app
}
)
}{
33
}{
section*.38
}
\contentsline
{
subsection
}{
\numberline
{
4.4.6
}
Cohesive laws
}{
33
}{
subsection.4.4.6
}
\contentsline
{
subsubsection
}{
Linear Irreversible Law
\xspace
(
\ref
{
ssect:smm:cl:coh-snozzi-app
}
)
}{
33
}{
section*.39
}
\contentsline
{
subsubsection
}{
Linear Cohesive Law with Fatigue
\xspace
(
\ref
{
ssect:smm:cl:coh-fatigue-app
}
)
}{
35
}{
section*.41
}
\contentsline
{
subsubsection
}{
Exponential Cohesive Law
\xspace
(
\ref
{
ssect:smm:cl:coh-exponential-app
}
)
}{
36
}{
section*.42
}
\contentsline
{
section
}{
\numberline
{
4.5
}
Adding a New Constitutive Law
}{
36
}{
section.4.5
}
\contentsline
{
chapter
}{
\numberline
{
5
}
Structural Mechanics Model
}{
43
}{
chapter.5
}
\contentsline
{
section
}{
\numberline
{
5.1
}
Model Setup
}{
44
}{
section.5.1
}
\contentsline
{
subsection
}{
\numberline
{
5.1.1
}
Initialization
}{
44
}{
subsection.5.1.1
}
\contentsline
{
subsection
}{
\numberline
{
5.1.2
}
Setting Boundary Conditions
}{
44
}{
subsection.5.1.2
}
\contentsline
{
section
}{
\numberline
{
5.2
}
Static Analysis
}{
45
}{
section.5.2
}
\contentsline
{
chapter
}{
\numberline
{
6
}
Heat Transfer Model
}{
47
}{
chapter.6
}
\contentsline
{
section
}{
\numberline
{
6.1
}
Theory
}{
47
}{
section.6.1
}
\contentsline
{
section
}{
\numberline
{
6.2
}
Using the Heat Transfer Model
}{
47
}{
section.6.2
}
\contentsline
{
subsection
}{
\numberline
{
6.2.1
}
Explicit Dynamic
}{
48
}{
subsection.6.2.1
}
\contentsline
{
chapter
}{
\numberline
{
7
}
Input/Output
}{
51
}{
chapter.7
}
\contentsline
{
section
}{
\numberline
{
7.1
}
Generic data
}{
51
}{
section.7.1
}
\contentsline
{
section
}{
\numberline
{
7.2
}
Cohesive elements' data
}{
52
}{
section.7.2
}
\contentsline
{
chapter
}{
\numberline
{
8
}
Parallel Computation
}{
53
}{
chapter.8
}
\contentsline
{
section
}{
\numberline
{
8.1
}
Initializing the Parallel Context
}{
53
}{
section.8.1
}
\contentsline
{
section
}{
\numberline
{
8.2
}
Partitioning the Mesh
}{
54
}{
section.8.2
}
\contentsline
{
section
}{
\numberline
{
8.3
}
Distributing Mesh Partitions
}{
54
}{
section.8.3
}
\contentsline
{
section
}{
\numberline
{
8.4
}
Launching a Parallel Program
}{
54
}{
section.8.4
}
\contentsline
{
chapter
}{
\numberline
{
9
}
Contact
}{
55
}{
chapter.9
}
\contentsline
{
section
}{
\numberline
{
9.1
}
Implicit Contact Solver
}{
55
}{
section.9.1
}
\contentsline
{
subsection
}{
\numberline
{
9.1.1
}
Implementation
}{
55
}{
subsection.9.1.1
}
\contentsline
{
subsubsection
}{
Hertz Example
}{
56
}{
section*.49
}
\contentsline
{
chapter
}{
\numberline
{
A
}
Shape Functions
}{
61
}{
appendix.A
}
\contentsline
{
section
}{
\numberline
{
A.1
}
1D-Shape Functions
}{
61
}{
section.A.1
}
\contentsline
{
subsection
}{
\numberline
{
A.1.1
}
Segment 2
}{
61
}{
subsection.A.1.1
}
\contentsline
{
subsection
}{
\numberline
{
A.1.2
}
Segment 3
}{
61
}{
subsection.A.1.2
}
\contentsline
{
section
}{
\numberline
{
A.2
}
2D-Shape Functions
}{
62
}{
section.A.2
}
\contentsline
{
subsection
}{
\numberline
{
A.2.1
}
Triangle 3
}{
62
}{
subsection.A.2.1
}
\contentsline
{
subsection
}{
\numberline
{
A.2.2
}
Triangle 6
}{
62
}{
subsection.A.2.2
}
\contentsline
{
subsection
}{
\numberline
{
A.2.3
}
Quadrangle 4
}{
63
}{
subsection.A.2.3
}
\contentsline
{
subsection
}{
\numberline
{
A.2.4
}
Quadrangle 8
}{
63
}{
subsection.A.2.4
}
\contentsline
{
section
}{
\numberline
{
A.3
}
3D-Shape Functions
}{
64
}{
section.A.3
}
\contentsline
{
subsection
}{
\numberline
{
A.3.1
}
Tetrahedron 4
}{
64
}{
subsection.A.3.1
}
\contentsline
{
subsection
}{
\numberline
{
A.3.2
}
Tetrahedron 10
}{
64
}{
subsection.A.3.2
}
\contentsline
{
subsection
}{
\numberline
{
A.3.3
}
Hexahedron 8
}{
65
}{
subsection.A.3.3
}
\contentsline
{
chapter
}{
\numberline
{
B
}
Material parameters
}{
67
}{
appendix.B
}
\contentsline
{
section
}{
\numberline
{
B.1
}
Linear elastic isotropic
}{
67
}{
section.B.1
}
\contentsline
{
section
}{
\numberline
{
B.2
}
Linear elastic anisotropic
}{
67
}{
section.B.2
}
\contentsline
{
section
}{
\numberline
{
B.3
}
Linear elastic orthotropic
}{
67
}{
section.B.3
}
\contentsline
{
section
}{
\numberline
{
B.4
}
Neohookean (finite strains)
}{
68
}{
section.B.4
}
\contentsline
{
section
}{
\numberline
{
B.5
}
Standard linear solid
}{
68
}{
section.B.5
}
\contentsline
{
section
}{
\numberline
{
B.6
}
Elasto-plastic linear isotropic hardening
}{
68
}{
section.B.6
}
\contentsline
{
section
}{
\numberline
{
B.7
}
Damage: Marigo
}{
68
}{
section.B.7
}
\contentsline
{
section
}{
\numberline
{
B.8
}
Damage: Mazars
}{
69
}{
section.B.8
}
\contentsline
{
section
}{
\numberline
{
B.9
}
Cohesive linear
}{
69
}{
section.B.9
}
\contentsline
{
section
}{
\numberline
{
B.10
}
Cohesive bilinear
}{
69
}{
section.B.10
}
\contentsline
{
section
}{
\numberline
{
B.11
}
Cohesive exponential
}{
69
}{
section.B.11
}
\contentsline
{
section
}{
\numberline
{
B.12
}
Cohesive linear fatigue
}{
70
}{
section.B.12
}
\contentsline
{
chapter
}{
\numberline
{
C
}
Package dependencies
}{
71
}{
appendix.C
}
\contentsfinish
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