Strain tensor symmetry General picture of elastic-plastic transition in crystalline materials Plasticity: phenomeno

Jun 04, 2012

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Strain tensor symmetry General picture of elastic-plastic transition in crystalline materials Plasticity: phenomeno

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SYMMETRY OF THE STRESS TENSOR

SYMMETRY OF THE STRESS TENSOR. The stress tensor  ij satisfies the symmetry condition.

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Elastic-Plastic Fracture Mechanics

Elastic-Plastic Fracture Mechanics. Introduction When does one need to use LEFM and EPFM? What is the concept of small-scale and large-scale yielding?. Background Knowledge Theory of Plasticity (Yield criteria, Hardening rules) Concept of K, G and K-dominated regions

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Review of terms: Normal stress, σ : Normal strain, ε : Plastic strain: Elastic strain: Degree of plasticity: Degree o

Lecture 9 – Deformation and Damage. Review of terms: Normal stress, σ : Normal strain, ε : Plastic strain: Elastic strain: Degree of plasticity: Degree of elasticity: Modulus of elasticity, E: Tangent Definition: Poisson’s Ratio, μ : Shear stress: Shear strain: Shear Modulus, G:.

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Stress, Strain, and elastic moduli

Physics 7C lecture 16. Stress, Strain, and elastic moduli. Tuesday November 26, 8:00 AM – 9:20 AM Engineering Hall 1200. Strain, stress, and elastic moduli.

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The strain tensor

The strain tensor. Section 1. Why do we need to know about elasticity?. Strain tensor for small deformations. How do we measure strain? Strain Gauges. From James T. Humprhies and Leslie P. Sheets, Industrial Electronics 4 th Ed. (Delmar, Albany NY, 1993).

840 views • 34 slides

Characteristics of Plastic Materials

Characteristics of Plastic Materials. Chapter 10. Plastics – synthetic materials capable of being formed and molded to produce finished products. Derived from many types of organic and inorganic materials Most often from petroleum base stock or natural gas

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Elastic Impression Materials

Elastic Impression Materials. Hydrocolloids. Prof Amal Ezzeldin Abdel Aziz Professor of Dental Biomaterials. Agar (reversible). Aqueous Hydrocolloids. Alginate ( irreversible ). Elastic. Polysulfide. Condensation. Non-aqueous Elastomers. Silicones. Addition. Polyether.

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Plastic deformation and creep in crystalline materials Chap. 11

Plastic deformation and creep in crystalline materials Chap. 11. Mechanical Properties of Materials. Stiffness. Resistance to elastic deformation . Young’s modulus. Strength. Resistance to plastic deformation. Yield stress. Toughness. Resistance to fracture. Energy to fracture.

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Fracture Behavior of Bulk Crystalline Materials

Fracture Behavior of Bulk Crystalline Materials. Fundamentals of Fracture Ductile Fracture Brittle Fracture Crack Initiation and Propagation Fracture Mechanics Fracture Toughness Design. Fundamentals of Fracture.

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Fracture Behavior of Bulk Crystalline Materials

Fracture Behavior of Bulk Crystalline Materials. Rice’s J-Integral As A Fracture Parameter Limitations Ductile-to-Brittle Transition Impact Fracture Testing Fatigue The S-N Curve Fatigue Strength Creep. Rice’s J-Integral.

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Strengthening of Crystalline Materials

Strengthening of Crystalline Materials. Dr. Richard Chung Department of Chemical and Materials Engineering San Jose State University. Learning Objectives. List and explain different strengthening mechanisms in a crystalline materials Discuss the methods to decrease the dislocation mobility

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Finite Deformation based Analysis of Strain Gradient Plasticity

Finite Deformation based Analysis of Strain Gradient Plasticity. Background: Size Effects in Plasticity. Flow Stress ( MPa ). Beam thickness (micron). Results of the bending of micro sized single crystal copper beams. 1. Geometrically Necessary Dislocations.

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Elastic-Plastic Deformation

Elastic-Plastic Deformation. Simple Constitutive Relations. And Their Graphs. Flow Rule. Anisotropy. Yield Surfaces. Drucker postulate. Kinematic hardening. Kinematic hardening is a monotonically growing & saturating function of strain and is a complex function of temperature.

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Elastic Impression Materials

Elastic Impression Materials. Hydrocolloids. Agar (reversible). Aqueous Hydrocolloids. Alginate (irreversible). Elastic. Polysulfide. Condensation. Non-aqueous Elastomers. Silicones. Addition. Polyether. Elastic Impression Materials. Hydrocolloids. Solution : homogenous mixture:

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Plastic deformation and creep in crystalline materials Chap. 11

Lec 26 26/03/2014. Plastic deformation and creep in crystalline materials Chap. 11. Mechanical Properties of Materials. Stiffness. Resistance to elastic deformation. Young’s modulus. Strength. Resistance to plastic deformation. Yield stress. Toughness. Resistance to fracture.

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Symmetry of the Moment Tensor :

Moment Tensor Inversion. Symmetry of the Moment Tensor :. M ij = M ji. Now assume the earthquake is a pure double couple, that means there is no net volume change, which means trace must be 0. M11 + M22 + M33 = 0.

682 views • 39 slides

Course of MIT 3.60 Symmetry, Structure and Tensor Properties of Materials (abbreviation: SST)

Course of MIT 3.60 Symmetry, Structure and Tensor Properties of Materials (abbreviation: SST). http://www.youtube.com/watch?v=vT_6DlaHcWQ&feature=PlayList&p=7E7E396BF006E209&playnext_from=PL&index=1. Fall 2005, lectures given by Professor Bernhardt Wuensch.

413 views • 21 slides

Plastic deformation of materials

Plastic deformation of materials. deformation parameters. microstructural parameters. material parameters:. Constitutive laws of plastic deformation. kinetic. microstructural evolution. Mecking and Kocks (1981); Frost and Ashby (1982). Deformation tests (constant T ). constant strain rate.

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Materials in general

Materials in general. The role of materials in every civilisation has always been substantial: The outstanding material has characterised each age (stone age, iron age, bronze age, etc.) The present one is the age of “many materials”. Classical partition of materials:

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PLASTICITY (inelastic behaviour of materials)

PLASTICITY (inelastic behaviour of materials). R m. R H. . R e. R H. . Permanent plastic strain. arctanE. . Brittle material. Linear elastic material. Elastic materials when unloaded return to initial shape (strains caused by loading are reversible). .

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Elastic Strain Tensor

e = ( dui/duj + duj/dui ). e. ij. Elastic Strain Tensor. ?. Q: How do we know if strain occurs? A: Distance between two points change after deform. strain tensor. Strain = du/dx. 1. Definition Strain Tensor. 2. Rotation and Strain Matrices. Outline. 3. Examples.

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