'Plane strain' diaporamas de présentation

CH-4 Plane problems in linear isotropic elasticity

CH-4 Plane problems in linear isotropic elasticity. HUMBERT Laurent. laurent.humbert@epfl.ch. laurent.humbert@ecp.fr. Thursday, march 18th 2010. Thursday, march 25th 2010. 4.1 Introduction.

1.05k views • 56 slides

Chapter 7 Transformations of Stress and Strain

Chapter 7 Transformations of Stress and Strain. 7.1 Introduction. Goals: determine: 1. Principal Stresses 2. Principle Planes 3. Max. Shearing Stresses. 3 normal stresses. -- ? x , ? y , and ? z. General State of Stress.

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CHAPTER 8

CHAPTER 8. FRAC. TURE. Fracture = separation of body into two or more pieces due to application of static stress. Tensile, Compressive Shear or torsional. The Fundamentals. Lets talk about the tensile loading of materials. DUCTILE. BRITTLE. Modes of fracture.

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Transformations of Stress and Strain

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Transformations of Stress and Strain

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Transformations of Stress and Strain

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Transformations of Stress and Strain

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Principle of Superposition

Principle of Superposition. For a linear elastic system, the individual components of stress, strain, displacement are additive. For example, two normal stress in x direction caused by two different external load can be added to get total stress. Principle of Superposition.

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The Elastic Stress Field Approach The Stress Intensity Factor

The Elastic Stress Field Approach The Stress Intensity Factor. The three basic modes of crack surface displacements. Derivation of the Elastic Stress Field Equations. Concepts of plane stress and plane strain Equilibrium equations Compatibility equations for strains Airy stress function

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Nonlinear eigenvalue problems arising from nonlinear fracture mechanics analysis

Nonlinear eigenvalue problems arising from nonlinear fracture mechanics analysis. E.M. Adulina, L.V. Stepanova, Samara State University. J. W. Hutchinson, Singular behavior at the end of tensile crack in a hardening material, J. Mech. Phys. Solids 16 (1968) 13-31.

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ME300H Introduction to Finite Element Methods

ME300H Introduction to Finite Element Methods. Finite Element Analysis of Plane Elasticity. Review of Linear Elasticity. Linear Elasticity: A theory to predict mechanical response of an elastic body under a general loading condition. Stress: measurement of force intensity. with. 2-D.

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Chapter 4

Chapter 4. FRAC. TURE. TOUGHNESS. Fracture = separation of body into two or more pieces due to application of static stress. Tensile, Compressive Shear or torsional. The Fundamentals. FAST FRACTURE. _. In a balloon energy is stored: Compressed gas

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Analysis of Stress and Strain

Analysis of Stress and Strain. Review:. - Torsional shaft. - Axially loaded Bar. t nt. p. s n. q. t xy. h. P. P. q. t yx. Questions: (1) Is there any general method to determine stresses on any arbitrary plane

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Chapter 7 Two-Dimensional Formulation

Three-dimensional elasticity problems are difficult to solve. Thus we first develop governing equations for two-dimensional problems, and explore four different theories: - Plane Strain Plane Stress Generalized Plane Stress Anti-Plane Strain. Chapter 7 Two-Dimensional Formulation.

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Chapter 7 Two-Dimensional Formulation

Three-dimensional elasticity problems are difficult to solve. Thus we first develop governing equations for two-dimensional problems, and explore four different theories: - Plane Strain Plane Stress Generalized Plane Stress Anti-Plane Strain. Chapter 7 Two-Dimensional Formulation.

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Experimental determination of KIC

Experimental determination of KIC. ASTM : A merican S ociety of T esting and M aterials. Introduction:. K C. Specimen Thickness. Assuming a small plastic zone compared to the specimen dimensions,. a critical value of the mode-I SIF may be an appropriate fracture parameter.

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FORMING (Conformado)

- GEOMETRY - MICROSTRUCTURE - Some materials are difficult to process as liquids (ceramics, refractory metals). FORMING (Conformado). Geometry, microstructure and materials.

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EMA 405

EMA 405. Quadrilateral Elements. Introduction. Quadrilateral elements are 4-sided, planar elements They can address plane stress, plane strain, or axisymmetric analyses Plane stress - ? z =0 (for thin structures) Plane strain - ? z =0 (for thick structures)

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Plane stress

Plane stress. z components of stress are zero . Thin plates We use plane stress for analyzing stresses in the skins of wings. But they are subject to pressure loads, hence . How come?. It is not plane strain!. The strain in the z direction is not zero. We had . So

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Elastic/Plastic Behavior of Infinitely Long Cylinders Subject to Mechanical and Thermal Loads

Elastic/Plastic Behavior of Infinitely Long Cylinders Subject to Mechanical and Thermal Loads. Objective. Examine the stresses and strains of infinitely-long cylinders subjec to axismmetric mechanical (pressure) and thermal loads, to include: Thin-walled and thick-walled cylinders

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