Extension of covariant derivative (III): From classical gradient to shape gradient
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Computational Mechanics
Link
http://link.springer.com/content/pdf/10.1007/s10409-015-0005-9.pdf
Reference12 articles.
1. Yin, Y.J.: Extension of the covariant derivative (I): From component form to objective form. Acta Mechanica Sinica DOI 10.1007/s10409-015-0003-y
2. Yin, Y.J.: Extension of the covariant derivative (II): From flat space to curved space. Acta Mechanica Sinica DOI 10.1007/s10409-015-0004-x
3. Huang, K.C, Xue, M.D., Lu, M.W.: Tensor Analysis, (2nd edn.). Tsinghua University Press, Beijing (2003)
4. Yin, Y., Chen, Y., Ni, D., et al.: Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes. Journal of Biomechanics 38, 1433–1440 (2005)
5. Yin, Y., Yin, J., Ni, D.: General mathematical frame for open or closed biomembranes: Equilibrium theory and geometrically constraint equation. Journal of Mathematical Biology 51, 403–413 (2005)
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3. Generalized Covariant Derivative with Respect to Time in Flat Space (I): Eulerian Description;Acta Mechanica Solida Sinica;2016-08
4. Generalized covariant differentiation and axiom-based tensor analysis;Applied Mathematics and Mechanics;2016-02-19
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