Mechanics Of Materials Saouma Episode 13 pps
Mechanics.Of.Materials.Saouma Episode 13 pps
... I1,beta,alpha
DOUBLEPRECISION :: determ
Victor Saouma Mechanics of Materials II
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8 3D PLASTICITY
this type of materials. Since it is the magnitude of the shear stress that is important, and ... extension of the Tresca criterion. The maximum
shear stress is a constant plus a function of the normal stress acting on the same plane.
|τ| = c − σ tan φ
(19.63)
Victor Saouma...
Mechanics.Of.Materials.Saouma Episode 4 pps
... E
22
=
∂u
2
∂X
2
(4.86)
Victor Saouma Mechanics of Materials II
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4.2 Strain Tensor 19
Therefore the off diagonal terms of the linear strain tensor represent one half of the angle change
between ... the equation x
∗2
2
+9x
∗2
3
=3
Victor Saouma Mechanics of Materials II
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8 KINEMATIC
24 The deformation gradient characterizes the rate of change of deformation wit...
Mechanics.Of.Materials.Saouma Episode 5 ppsx
... n
(2)
·n
(2)
=1)
n
(2)
=
001
(4.178)
Victor Saouma Mechanics of Materials II
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40 KINEMATIC
Figure 4.12: Wheatstone Bridge Configurations
Victor Saouma Mechanics of Materials II
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Chapter 5
MATHEMATICAL
PRELIMINARIES; ... obtain
Ω
Φ
∂Ψ
∂x
dΩ=
Γ
ΦΨn
x
dΓ −
Ω
∂Φ
∂x
ΨdΩ (5.11)
Victor Saouma Mechanics of Materials II
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26 KINEMATIC
Example 4-12: Polar...
Mechanics.Of.Materials.Saouma Episode 6 pps
... =
dq
θ
rev
(6.44)
Victor Saouma Mechanics of Materials II
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12 FUNDAMENTAL LAWS of CONTINUUM MECHANICS
Victor Saouma Mechanics of Materials II
Draft
6.4 Conservation of Energy; First Principle of Thermodynamics ... =
1
2
T
ij
E
ij
(7.7)
Victor Saouma Mechanics of Materials II
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6.5 Second Principle of Thermodynamics 9
equations of state. Any sta...
Mechanics.Of.Materials.Saouma Episode 14 ppsx
... :: stg_len
Victor Saouma Mechanics of Materials II
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Chapter 20
DAMAGE MECHANICS
The inception of damage mechanics is generally attributed to Kachanov in 1958 and his idea of a scalar
damage ... results to output file
!
CALL write_out(Logfid,Outfid)
Victor Saouma Mechanics of Materials II
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20.1 “Plasticity” format of damage mechanics 3
Multiplying Eq. 20....
Mechanics.Of.Materials.Saouma Episode 1 doc
... Loading 5
Victor Saouma Mechanics of Materials II
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iv
Victor Saouma Mechanics of Materials II
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Part I
CONTINUUM MECHANICS
Draft
viii CONTENTS
Victor Saouma Mechanics of Materials II
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iii
PREFACE
One ... 28
E 4 -13 Strain Compatibility 30
Victor Saouma Mechanics of Materials II
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DRAFT
Lecture Notes
Introduction to
MECHANICSofMATERIALS
Fund...
Mechanics.Of.Materials.Saouma Episode 2 potx
... a
3
3
V
3
(1.47)
Victor Saouma Mechanics of Materials II
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4 KINETICS
The vector sum of all external forces acting on the free body is equal to the rate of change
of the total momentum
2
.
12 ... orthogonal.
Victor Saouma Mechanics of Materials II
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Chapter 2
KINETICS
Or How Forces are Transmitted
2.1 Force, Traction and Stress Vectors
1 There are two kinds of...
Mechanics.Of.Materials.Saouma Episode 3 docx
... generalize
div v(x)=
∂v(x)
∂x
i
·e
i
(3 .13)
Victor Saouma Mechanics of Materials II
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12 MATHEMATICAL PRELIMINARIES; Part II VECTOR DIFFERENTIATION
Victor Saouma Mechanics of Materials II
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Chapter ... (3.26-b)
Victor Saouma Mechanics of Materials II
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10 KINETICS
Figure 2.5: Differential Shell Element, Stresses
Figure 2.6: Differential Shell Element, Force...
Mechanics.Of.Materials.Saouma Episode 7 docx
... state
temperature, the strain componenet of an elementary volume of an unconstrained isotropic body are
given by
E
(Θ)
ij
= α(Θ − Θ
0
)δ
ij
(7.57)
Victor Saouma Mechanics of Materials II
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12 CONSTITUTIVE ... + u
θ
cos θ (8.20-b)
Victor Saouma Mechanics of Materials II
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2 SOME ELASTICITY PROBLEMS
X
X
XL
M
M
1
2
3
T
T
aθ
n
n
Figure 9.1: Torsion of a Circular Bar...
Mechanics.Of.Materials.Saouma Episode 8 potx
... the loading that each particle of the elastic sphere will expereince only a radial displacement
Victor Saouma Mechanics of Materials II
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Part III
FRACTURE MECHANICS
Draft
9.2 Airy Stress ... that in certain literature, (specially the one of Lehigh University), instead of K = f(g)σ
√
πa, k = f (g)σ
√
a is
used.
Victor Saouma Mechanics of Materials II
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Draft
8...
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