Rotation, reflection, and frame changes : orthogonal tensors in computational engineering mechanics /

Bibliographic Details
Main Author: Brannon, R. M. (Rebecca M.) (Author)
Other Authors: Schreyer, H. L. (writer of foreword.)
Format: Book
Language:English
Published: Bristol, UK : IOP Publishing, [2018]
Series:IOP expanding physics.
Subjects:

MARC

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245 1 0 |a Rotation, reflection, and frame changes :  |b orthogonal tensors in computational engineering mechanics /  |c R.M. Brannon. 
264 1 |a Bristol, UK :  |b IOP Publishing,  |c [2018] 
264 4 |c ©2018 
300 |a 1 volume (various pagings) :  |b illustrations (some color) ;  |c 27 cm. 
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490 1 |a IOP expanding physics 
500 |a "Version: 20180401"--Title page verso. 
504 |a Includes bibliographical references. 
505 0 |a 1. Introduction -- 2. Notation and tensor analysis essentials -- 3. Orthogonal basis and coordinate transformations -- 4. Rotation operations -- 5. Axis and angle of rotation -- 6. Rotations contrasted with reflections -- 7. Quaternion representation of a rotation -- 7. Dyadic form of an invertible linear operator -- 9. Sequential rotations -- 10. Series expression for a rotation -- 11. Spectrum of a rotation -- 12. Polar decomposition -- 13. Strain measures -- 14. Remapping, advecting, or interpolating rotations -- 15. Rates and other deriatives of rotation -- 16. Variations of tensor-valued functions of scalars and vectors -- 17. Statistics of random orientation -- 18. Introduction to material and tensor symmetrics -- Frame indifference -- 20. Tensor symmetry (not material symmetry) -- Scalars and invariants -- 22. PMFI for incremental constitutive models -- 23. Rigid-body mechanics -- 24. Pseudo-body force for spinning problems -- 25. Computer graphics visualization -- 26. Voigt and Mandel components -- 27. Higher-order rotations -- 28. Closing remarks. 
650 0 |a Engineering mathematics.  |0 http://id.loc.gov/authorities/subjects/sh85043235 
650 0 |a Mechanics, Applied.  |0 http://id.loc.gov/authorities/subjects/sh85082769 
650 0 |a Mechanics, Analytic.  |0 http://id.loc.gov/authorities/subjects/sh85082768 
700 1 |a Schreyer, H. L.,  |e writer of foreword.  |0 http://id.loc.gov/authorities/names/n91053333 
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