Mechanics Of Materials Saouma Episode 6 pps

... through Victor Saouma Mechanics of Materials II Draft 6 FUNDAMENTAL LAWS of CONTINUUM MECHANICS 6. 3.2 †Moment of Momentum Principle 25 The moment of momentum principle states that the time rate of change of ... =  dq θ  rev (6. 44) Victor Saouma Mechanics of Materials II Draft 12 FUNDAMENTAL LAWS of CONTINUUM MECHANICS Victor Saouma Mechanics of M...

Ngày tải lên: 13/08/2014, 17:20

... 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 tensor represent one half of the angle change between ... differentiation of Eq. 4.12-c with respect to X j produces the material displacement gradient ∂u i ∂X j = ∂x i ∂X j − δ ij or J ≡ u∇ X = F −I (4.44) Victor Saouma Mechanics...

Ngày tải lên: 13/08/2014, 17:20

... −  Ω ∂Φ ∂x ΨdΩ (5.11) Victor Saouma Mechanics of Materials II Draft 26 KINEMATIC Example 4-12: Polar Decomposition III Victor Saouma Mechanics of Materials II Draft 4 .6 Lagrangian Stresses; Piola ... n (2) ·n (2) =1) n (2) =  001  (4.178) Victor Saouma Mechanics of Materials II Draft 40 KINEMATIC Figure 4.12: Wheatstone Bridge Configurations Victor Saouma Mech...

Ngày tải lên: 13/08/2014, 17:20

... deviatoric and meridian planes are  ρ t = 2 √ 6c cos φ−2 √ 2ξ sin φ 3+sin φ ρ c = 2 √ 6c cos φ−2 √ 2ξ sin φ 3−sin φ (19 .66 ) Victor Saouma Mechanics of Materials II Draft 19.9 †Case Study: J 2 Plasticity/von ... I1,beta,alpha DOUBLEPRECISION :: determ Victor Saouma Mechanics of Materials II Draft 8 3D PLASTICITY this type of materials. Since it is the magnitude of the s...

Ngày tải lên: 13/08/2014, 17:20

... :: stg_len Victor Saouma Mechanics of Materials II Draft Chapter 20 DAMAGE MECHANICS The inception of damage mechanics is generally attributed to Kachanov in 1958 and his idea of a scalar damage ... 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 integra...

Ngày tải lên: 13/08/2014, 17:20

... T. (14. 16) Similarly, (14.17) 358 Mechanics of Materials Fig. 13. 36. Therefore at the junction of web and flange 75 x 103 x 0.07 a* = 72. 56 x = 72.35 x lo6 = 72.35 ... the axis of the bar. [60 , 34 .6, 69 .3 MN/m2.] stress in the bar and the planes on which it acts. Find also the value of the normal stresses on these planes. 340 Mechanics o...

Ngày tải lên: 10/08/2014, 12:21

... (7 .65 ) Victor Saouma Mechanics of Materials II Draft 6. 5 Second Principle of Thermodynamics 9 equations of state. Any state variable which may be expressed as a single valued function of a set of other ... the mechanical problem. Victor Saouma Mechanics of Materials II Draft 8 FUNDAMENTAL LAWS of CONTINUUM MECHANICS 6. 4.2 Local Form 40 Examining the third ter...

Ngày tải lên: 11/08/2014, 15:21

... 191 1 96 198 200 203 205 209 166 The Coming of Materials Science 4.2.2 Diflusion The migration of one atomic species in another, in the solid state, is the archetype of a materials- science ... an excellent example of a process useful to materials engineers developed as spin-off from what was initially a piece of parepistemic research. 184 The Coming of...

Ngày tải lên: 13/08/2014, 09:20

... Loading 5 Victor Saouma Mechanics of Materials II Draft iv Victor Saouma Mechanics of Materials II Draft Part I CONTINUUM MECHANICS Draft viii CONTENTS Victor Saouma Mechanics of Materials II Draft iii PREFACE One ... Physical Interpretation of the Divergence Theorem 3 Draft ii Victor Saouma Mechanics of Materials II Draft ii LIST OF FIGURES 6. 1 Flux Th...

Ngày tải lên: 13/08/2014, 17:20

... 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 total momentum 2 . 12 ... α  (1.50) Victor Saouma Mechanics of Materials II Draft 14 MATHEMATICAL PRELIMINARIES; Part I Vectors and Tensors 1.3.5 † Powers of Second Order Tensors; Hamilton-Cayley...

Ngày tải lên: 13/08/2014, 17:20