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The theory of fluid surfaces with elastic resistance to bending is applied to coexistent phase equilibria in biomembranes composed of lipid bilayers. A simplified version of the model is used toâ€¦ (More)

The phenomenological theory of elasticâ€“plastic response is reconsidered in the light of recent opinion regarding the constitutive character of the constituent elastic and plastic deformations. Theâ€¦ (More)

- Ashutosh Agrawal, David J. Steigmann
- Biomechanics and modeling in mechanobiology
- 2009

The equilibrium theory for lipid membranes is used to describe the structure of nuclear pores and the membrane shapes accompanying endocytosis. The commonly used variant of the theory contains aâ€¦ (More)

- Padmini Rangamani, Ashutosh Agrawal, Kranthi K. Mandadapu, George F. Oster, David J. Steigmann
- Biomechanics and modeling in mechanobiology
- 2013

The theory of intra-surface viscous flow on lipid bilayers is developed by combining the equations for flow on a curved surface with those that describe the elastic resistance of the bilayer toâ€¦ (More)

Kovetzâ€™ formulation [1] of the system consisting of the linear momentum balance, momentof-momentum balance, energy balance and Clausius-Duhem inequality for electromagnetic media is derived fromâ€¦ (More)

- Roger A. Sauer, Thang X. Duong, Kranthi K. Mandadapu, David J. Steigmann
- J. Comput. Physics
- 2017

This paper presents a new finite element (FE) formulation for liquid shells that is based on an explicit, 3D surface discretization using C1-continuous finite elements constructed from NURBSâ€¦ (More)

Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a prioriâ€¦ (More)

Several issues pertaining to the phenomenological description of rate-independent plasticity in crystalline solids are discussed. These include energy dissipation, the specification of initialâ€¦ (More)

Koiterâ€™s linear shell theory applies to isotropic elastic materials and to anisotropic materials that exhibit reflection symmetry of the elastic properties with respect to the shell midsurface. Toâ€¦ (More)

A nonlinear two-dimensional theory is developed for thin magnetoelastic films capable of large deformations. This is derived directly from the three-dimensional theory. Significant simplificationsâ€¦ (More)