Access the full text.
Sign up today, get DeepDyve free for 14 days.
Yajun Yin, Yanqiu Chen, Dong Ni, Huiji Shi, Q. Fan (2005)
Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes.Journal of biomechanics, 38 7
Yajun Yin, Jie Yin, Dong Ni (2005)
General Mathematical Frame for Open or Closed Biomembranes (Part I): Equilibrium Theory and Geometrically Constraint EquationJournal of Mathematical Biology, 51
Yajun Yin (2015)
Extension of covariant derivative (III): From classical gradient to shape gradientActa Mechanica Sinica, 31
Yajun Yin, Jie Yin, C. Lv (2008)
Equilibrium theory in 2D Riemann manifold for heterogeneous biomembranes with arbitrary variational modesJournal of Geometry and Physics, 58
Yajun Yin (2016)
Generalized covariant derivative with respect to time in flat space (II): Lagrangian descriptionActa Mechanica Solida Sinica, 29
C. Rose (1938)
What is tensor analysis?Electrical Engineering, 57
Yajun Yin (2016)
Generalized covariant differentiation and axiom-based tensor analysisApplied Mathematics and Mechanics, 37
Yajun Yin (2015)
Extension of covariant derivative (I): From component form to objective formActa Mechanica Sinica, 31
MW Lu (2003)
Tensor analysis
XL Xie (2014)
Modern tensor analysis and its applications to continuum medium mechanics
Yajun Yin (2015)
Extension of covariant derivative (II): From flat space to curved spaceActa Mechanica Sinica, 31
(2006)
Differential geometry and the generalized theory of relativity
Yajun Yin, C. Lv (2008)
Equilibrium Theory and Geometrical Constraint Equation for Two-Component Lipid Bilayer VesiclesJournal of Biological Physics, 34
Zhuping Huang, J. Wang (2007)
Micromechanics of Nanocomposites with Interface Energy Effect
(2014)
Modern tensor analysis and its applications to continuum medium mechanics. Shanghai: Fudan University
(2012)
Electrowetting on soft curved surface
Abstract This paper studies the particle time derivatives of the characteristic geometric quantities on soft curved surfaces in Lagrangian description. On the basis of differential geometry, the calculation formulas for the particle time derivatives of the base vectors, metric tensor, Christoffel symbol, unit normal vector, curvature tensor and scalar curvatures on soft curved surface are derived. The limitations of particle time derivatives, e.g. the non-covariance, are pointed out. This research paves the way for studying particle time derivative of any tensor field on soft curved surface.
"Acta Mechanica Solida Sinica" – Springer Journals
Published: Dec 1, 2018
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.