Transcription of 1.2 The Strain-Displacement Relations
{{id}} {{{paragraph}}}
Example: barber
1.2 The Strain-Displacement Relations
Section Solid Mechanics Part II Kelly The Strain-Displacement Relations The strain was introduced in Book I: 4. The concepts examined there are now extended to the case of strains which vary continuously throughout a material. The Strain-Displacement Relations Normal strain Consider a line element of length x emanating from position ),(yx and lying in the x- direction, denoted by AB in Fig. After deformation the line element occupies BA , having undergone a translation, extension and rotation. Figure : deformation of a line element The particle that was originally at x has undergone a displacement ),(yxux and the other end of the line element has undergone a displacement ),(yxxux . By the definition of (small) normal strain , xyxuyxxuABABBA xxxx ),(),(* ( ) In the limit 0 x one has xuxxx ( ) This partial derivative is a displacement gradient, a measure of how rapid the displacement changes through the material, and is the strain at ),(yx.
Section 1.2 Solid Mechanics Part II Kelly 9 1.2 The Strain-Displacement Relations
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document:
Related search queries
2004 Standard for PERFORMANCE RATING, Positive, PERFORMANCE RATING OF POSITIVE DISPLACEMENT, Positive displacement, PERFORMANCE RATING OF POSITIVE DISPLACEMENT REFRIGERANT COMPRESSORS AND COMPRESSOR, Positive Displacement Pump, Pump, Positive displacement meters series BM, POSITIVE DISPLACEMENT PUMPS-PERFORMANCE, POSITIVE DISPLACEMENT PUMPS - PERFORMANCE, 1 Position, Displacement, and Distance, Series 2 Variable Displacement Piston Pump, EATON Series 2 Variable Displacement Piston Pump, Eaton, Fixed Displacement Gear Pumps, Parker Hannifin