A linear theory of finite strain

A linear theory of finite strain

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ABSTRACT DR. Gordon describes a theory of ‘straining’ that is certainly not mine. Dr. Gordon merely discusses the rotation of an assembly of elemental _rigid_ blocks (or the undeformed body) with initial vector diagonal _d_ R and current diagonal _d_ T, and correctly finds that since the body is not deformable then it can only rotate as a whole (or be translated). Dr. Gordon gives no indication of what is to be understood as ‘strain’ in order to allow examination of the compatibility conditions mathematically necessary to ensure integrability to give ‘displacements’. Access through your institution Buy or subscribe This is a preview of subscription content, access via your institution ACCESS OPTIONS Access through your institution Subscribe to this journal Receive 51 print issues and online access $199.00 per year only $3.90 per issue Learn more Buy this article * Purchase on SpringerLink * Instant access to full article PDF Buy now Prices may be subject to local taxes which are calculated during checkout ADDITIONAL ACCESS OPTIONS: * Log in * Learn about institutional subscriptions * Read our FAQs * Contact customer support SIMILAR CONTENT BEING VIEWED BY OTHERS A GENERALIZED STRAIN APPROACH TO ANISOTROPIC ELASTICITY Article Open access 07 January 2022 NOETHER’S THEOREM IN STATISTICAL MECHANICS Article Open access 05 August 2021 ON LOCAL INTRINSIC DIMENSIONALITY OF DEFORMATION IN COMPLEX MATERIALS Article Open access 13 May 2021 REFERENCES * Swainger, K. H., _Phil. Mag._, 38, 422 (1947). Article  Google Scholar  * Proc. Seventh Intern. Congr. App. Mech., London, Sept. 1948. * Communicated to _Quart. J. Mech. and App. Math._ (June 1950). * Communicated to _Quart. J. Mech. and App. Math._ (July 1950). * Love, A. E. H., “_Mathematical Theory of Elasticity_”, 49 (Cambridge Univ. Press, 1934). Google Scholar  * Weatherburn, C. E., “_Advanced Vector Analysis_” (G. Bell and Sons, 1937). Google Scholar  * Swainger, K. H., communicated to _J. Franklin Inst._ (April 1950). * _App. Sci. Research_, _Holland_ (in the press). * _J. App. Mech._, 15, 45 (1948). Download references AUTHOR INFORMATION AUTHORS AND AFFILIATIONS * Imperial College of Science and Technology, London, S.W.7 K. H. SWAINGER Authors * K. H. SWAINGER View author publications You can also search for this author inPubMed Google Scholar RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE SWAINGER, K. A Linear Theory of Finite Strain. _Nature_ 166, 657–659 (1950). https://doi.org/10.1038/166657b0 Download citation * Issue Date: 14 October 1950 * DOI: https://doi.org/10.1038/166657b0 SHARE THIS ARTICLE Anyone you share the following link with will be able to read this content: Get shareable link Sorry, a shareable link is not currently available for this article. Copy to clipboard Provided by the Springer Nature SharedIt content-sharing initiative

ABSTRACT DR. Gordon describes a theory of ‘straining’ that is certainly not mine. Dr. Gordon merely discusses the rotation of an assembly of elemental _rigid_ blocks (or the undeformed body)


with initial vector diagonal _d_ R and current diagonal _d_ T, and correctly finds that since the body is not deformable then it can only rotate as a whole (or be translated). Dr. Gordon


gives no indication of what is to be understood as ‘strain’ in order to allow examination of the compatibility conditions mathematically necessary to ensure integrability to give


‘displacements’. Access through your institution Buy or subscribe This is a preview of subscription content, access via your institution ACCESS OPTIONS Access through your institution


Subscribe to this journal Receive 51 print issues and online access $199.00 per year only $3.90 per issue Learn more Buy this article * Purchase on SpringerLink * Instant access to full


article PDF Buy now Prices may be subject to local taxes which are calculated during checkout ADDITIONAL ACCESS OPTIONS: * Log in * Learn about institutional subscriptions * Read our FAQs *


Contact customer support SIMILAR CONTENT BEING VIEWED BY OTHERS A GENERALIZED STRAIN APPROACH TO ANISOTROPIC ELASTICITY Article Open access 07 January 2022 NOETHER’S THEOREM IN STATISTICAL


MECHANICS Article Open access 05 August 2021 ON LOCAL INTRINSIC DIMENSIONALITY OF DEFORMATION IN COMPLEX MATERIALS Article Open access 13 May 2021 REFERENCES * Swainger, K. H., _Phil. Mag._,


38, 422 (1947). Article  Google Scholar  * Proc. Seventh Intern. Congr. App. Mech., London, Sept. 1948. * Communicated to _Quart. J. Mech. and App. Math._ (June 1950). * Communicated to


_Quart. J. Mech. and App. Math._ (July 1950). * Love, A. E. H., “_Mathematical Theory of Elasticity_”, 49 (Cambridge Univ. Press, 1934). Google Scholar  * Weatherburn, C. E., “_Advanced


Vector Analysis_” (G. Bell and Sons, 1937). Google Scholar  * Swainger, K. H., communicated to _J. Franklin Inst._ (April 1950). * _App. Sci. Research_, _Holland_ (in the press). * _J. App.


Mech._, 15, 45 (1948). Download references AUTHOR INFORMATION AUTHORS AND AFFILIATIONS * Imperial College of Science and Technology, London, S.W.7 K. H. SWAINGER Authors * K. H. SWAINGER


View author publications You can also search for this author inPubMed Google Scholar RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE SWAINGER, K. A


Linear Theory of Finite Strain. _Nature_ 166, 657–659 (1950). https://doi.org/10.1038/166657b0 Download citation * Issue Date: 14 October 1950 * DOI: https://doi.org/10.1038/166657b0 SHARE


THIS ARTICLE Anyone you share the following link with will be able to read this content: Get shareable link Sorry, a shareable link is not currently available for this article. Copy to


clipboard Provided by the Springer Nature SharedIt content-sharing initiative