Mechanics Of Materials Saouma Episode 5 ppsx

...  001  (4.178) Victor Saouma Mechanics of Materials II Draft 40 KINEMATIC Figure 4.12: Wheatstone Bridge Configurations Victor Saouma Mechanics of Materials II Draft 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 Draft 26 KINEMATIC Example 4-12: Polar Decomposition III Vict...

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... = 50 0 INTEGER :: iter INTEGER :: i,j,k,l INTEGER :: iloc CHARACTER(LEN=80) :: value INTEGER :: stg_len Victor Saouma Mechanics of Materials II Draft Chapter 20 DAMAGE MECHANICS The inception of ... contract24(barnp_mat,np_mat,Eo_ten) ! Victor Saouma Mechanics of Materials II Draft 2 OTHER CONSITUTIVE MODELS Ω is taken as one half of the unit sphere, and the integral i...

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... Model 4 15. 2.3 Table Look-Up 4 15. 2.4 Effective Stress Intensity Factor Range 4 15. 2 .5 Examples 4 15. 2 .5. 1 Example 1 4 15. 2 .5. 2 Example 2 5 15. 2 .5. 3 Example 3 5 15. 3 Variable Amplitude Loading 5 Victor ... Loading 5 Victor Saouma Mechanics of Materials II Draft iv Victor Saouma Mechanics of Materials II Draft Part I CONTINUUM MECHANICS Draft viii C...

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... B mp q ;5 3 (1 .55 ) 47 Outer Product: The outer product of two tensors (not necessarily of the same type or order) is a set of tensor components obtained simply by writing the components of the ... a 3 3 V 3 (1.47) Victor Saouma Mechanics of Materials II Draft 4 KINETICS The vector sum of all external forces acting on the free body is equal to the rate of change of the...

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... AxesLabel −> 8"X", "Y", "Z"<D -10 -5 0 5 10 X -10 -5 0 5 10 Y -10 -5 0 5 10 Z -10 -5 0 5 X 1 0 -5 0 5 Y Ö Graphics3D Ö Div@Curl@V, Cartesian@x, y, zDD, Cartesian@x, ... 4<D 0 5 10 15 0 5 10 0 5 0 5 10 15 0 5 10 Ö Graphics3D Ö m−par3d.nb 1 Figure 3.4: Mathematica Solution for the Tangent to a Curve in 3D 3.3 Divergence 3....

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... as (dX) 2 = ∂X k ∂x i ∂X k ∂x j dx i dx j = B −1 ij dx i dx j (4 .53 -a) =dx·B −1 ·dx (4 .53 -b) Victor Saouma Mechanics of Materials II Draft 4.2 Strain Tensor 7 The Lagrangian description of a deformation is given by x 1 = ... E 22 = ∂u 2 ∂X 2 (4.86) Victor Saouma Mechanics of Materials II Draft 4.2 Strain Tensor 19 Therefore the off diagonal terms of the linear strain te...

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... =  dq θ  rev (6.44) Victor Saouma Mechanics of Materials II Draft 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 Draft 6 .5 Second Principle of Thermodynamics 9 equations of state. Any s...

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... ν)0 νν0 00 1−2ν 2        ε xx ε yy γ xy    (7 .52 ) 7.2 .5. 2.2 Axisymmetry 43 In solids of revolution, we can use a polar coordinate sytem and ε rr = ∂u ∂r (7 .53 -a) ε θθ = u r (7 .53 -b) ε zz = ∂w ∂z (7 .53 -c) ε rz = ∂u ∂z + ∂w ∂r (7 .53 -d) 44 ... state temperature, the strain componenet of an elementary volume of an unconstrained isotropic body are given by E (Θ) ij = α(...

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... +6Bb 2 − 6C b 4 − 2D b 2  = 1 2 σ 0 (9. 75- b) −  2A + 6C a 4 + 4D a 2  = 0 (9. 75- c)  2A +6Ba 2 − 6C a 4 − 2D a 2  = 0 (9. 75- d) Victor Saouma Mechanics of Materials II Draft 10 SOME ELASTICITY ... dropped) 56 The general solution of this ordinary linear fourth order differential equation is f(r)=Ar 2 + Br 4 + C 1 r 2 + D (9.68) Victor Saouma Mechanics of Materials I...

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... .17 25 1.02 .59 71 . 451 4 .3 058 .3 058 .2319 1.04 .7981 .6082 .4183 .4183 .3334 1.06 .9 250 .7104 .4 958 .4 958 .3979 1.08 1.01 35 .7843 .55 51 .55 51 .44 85 1.10 1.07 75 .8400 .60 25 .60 25 .4897 1. 15 1.1746 .9322 ... .6898 .6898 .56 88 1.20 1.2208 .9 851 .7494 .7494 .6262 1. 25 1.24 05 1.0168 .7929 .7929 .6701 1.30 1.2 457 1.0 358 .8 259 .8 259 .7 053 1.40 1.2 350 1. 053 6 .872...

Ngày tải lên: 13/08/2014, 17:20