Mechanics Of Materials Saouma Episode 14 ppsx

... :: 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 ... by E s =(1−D)E o (20 .14) where the damage parameter D provides a measure of the reduction of the stiffness due to the formation of microcracks. One of the key concepts in...

Ngày tải lên: 13/08/2014, 17:20

... 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 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...

Ngày tải lên: 13/08/2014, 17:20

... 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 ... Compatibility 30 Victor Saouma Mechanics of Materials II Draft DRAFT Lecture Notes Introduction to MECHANICSofMATERIALS Fundamentals of Inela...

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-Cayle...

Ngày tải lên: 13/08/2014, 17:20

... (3.26-b) Victor Saouma Mechanics of Materials II Draft 10 KINETICS Figure 2.5: Differential Shell Element, Stresses Figure 2.6: Differential Shell Element, Forces Victor Saouma Mechanics of Materials ... v(x)= ∂v(x) ∂x i ·e i (3.13) Victor Saouma Mechanics of Materials II Draft 12 MATHEMATICAL PRELIMINARIES; Part II VECTOR DIFFERENTIATION Victor Saouma Mechanics of...

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 ... the equation x ∗2 2 +9x ∗2 3 =3 Victor Saouma Mechanics of Materials II Draft 8 KINEMATIC 24 The deformation gradient characterizes the rate of change of deformation wit...

Ngày tải lên: 13/08/2014, 17:20

... =  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 sta...

Ngày tải lên: 13/08/2014, 17:20

... homogeneous quadratic function of the strains such that, Eq. 18.29 T ij = ∂W ∂E ij (8 .14) hence it follows that W = 1 2 T ij E ij (8.15) Victor Saouma Mechanics of Materials II Draft 10 CONSTITUTIVE ... 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...

Ngày tải lên: 13/08/2014, 17:20

... (10.11) and by separation of real and imaginary parts we can then solve for σ 22 − σ 11 & σ 12 . 14 Displacements can be similarly obtained. Victor Saouma Mechanics of Materials II Draft 9.2 ... the loading that each particle of the elastic sphere will expereince only a radial displacement Victor Saouma Mechanics of Materials II Draft Part III FRACTURE MECHANICS Dr...

Ngày tải lên: 13/08/2014, 17:20

... Mpa √ m, and that 1ksi √ in=1.099Mpa √ m (11.30) Victor Saouma Mechanics of Materials II Draft 14 LEFM DESIGN EXAMPLES Victor Saouma Mechanics of Materials II Draft 12 LEFM DESIGN EXAMPLES M 1 =1.13 ... in an Infinite Plate under Tension Victor Saouma Mechanics of Materials II Draft 10 ELASTICITY BASED SOLUTIONS FOR CRACK PROBLEMS Victor Saouma Mechanics of Mat...

Ngày tải lên: 13/08/2014, 17:20