Imagine a 3D state of strain in amechanical part, measured perhaps by digital volume correlation or other means, given inCartesian coordinates by€rx = a(x² + y²),€yy = a(y² +2²), Exy=b(xyz), Exz = €yz = €zz = 0,where a and b are constants and x, y, z are coordinates in space. Determine whether thismeasured strain field is a possible state of strain for a continuum that remains intact andcontinuous after deformation.

Imagine a 3D state of strain in a mechanical part, measured perhaps by digital volume correlation or other means, given in Cartesian coordinates by €rx = a(x² + y²), €yy = a(y² +2²), Exy = b(xyz), €xz = €yz = €zz = 0, where a and b are constants and x, y, z are coordinates in space. Determine whether this measured strain field is a possible state of strain for a continuum that remains intact and continuous after deformation.

Imagine a 3D state of strain in a mechanical part, measured perhaps by digital volume correlation or other means, given in Cartesian coordinates by €rx = a(x² + y²), €yy = a(y² +2²), Exy = b(xyz), €xz = €yz = €zz = 0, where a and b are constants and x, y, z are coordinates in space. Determine whether this measured strain field is a possible state of strain for a continuum that remains intact and continuous after deformation.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...

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