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Concentrated Stress & Stress Tensor
1) A stress concentration is a location where stress is concentrated, such as at a crack or sharp edge, weakening the material. 2) Stress concentrations can cause failure when the concentrated stress exceeds the material's theoretical strength. Most materials contain small cracks or defects that concentrate stress. 3) Removing stress concentrations through techniques like adding fillets can increase a material's fatigue strength by preventing the initiation and growth of cracks.
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Concentrated Stress & Stress Tensor
- 1. MEHRAN UNIVERSITY OFENGINEERING AND TECHNOLOGY SZAB CAMPUS ,KHAIRPUR MIR’S PRESENTATION ROLL NO K13ME45 NAME HASSAN RAZA SUBJECT SOM-II TOPIC CONCENTRATED STRESS, STRESS TENSOR
- 2. CONCENTRATED STRESS • Astress concentration (often called stress raisers or stress risers) is a location in an object where stress is concentrated. • An object is strongest when force is evenly distributed over its area, so a reduction in area, e.g., caused by a crack, results in a localized increase in stress.
- 4. EXPLANATION • A materialcan fail, via a propagating crack, when a concentrated stress exceeds the material's theoretical cohesive strength. • Cohesive strength:Theoretical stress that causes fracture in tensile test if material exhibits no plastic deformation. • The real fracture strength of a material is always lower than the theoretical value because most materials contain small cracks that concentrate stress.
- 5. • Fatigue cracksalways start at stress raisers, so removing such defects increases the fatigue strength. The sharp corner at the brick has acted as a stress concentrator within the concrete causing it to crack
- 6. PREVENTION • One methodused to decrease the stress concentration is by creating the fillet at the sharp edges. It gives smooth flow of stress streamlines.
- 7. STRESS TENSOR DEFINITION Stress Tensoris simply a convenient concise way of expressing the stress state inside of a material. OR Tensor can be defined as the quantity which has magnitude with multiple direction.
- 8. EXPLANATION • Tensor completelydefines( determines the components of stress) in a body. i-e it gives information about magnitude direction and plane of action.
- 9. • Stresses actingon an plane, are typically decomposed into three mutually orthogonal components. One component is normal to the surface and represents direct stress. The other two components are tangential to the surface and represent shear stresses.