Skip to main content

Geometric Design, Computer Graphics, and FEM

Submitted by N. Sukumar on

I recently participated in a minisymposium (SIAM Conference ), where geometric modeling, graphics, and finite elements were the focus. Over the past 4 to 5 years, there has been a lot of interest in the construction of barycentric coordinates on polygons/polyhedra, and the minisymposium brought together many of us with common interests.

Two faculty positions in computational and experimental mechanics at Columbia University

Submitted by Xi Chen on

Columbia University

Department of Civil Engineering and Engineering Mechanics



The Department of Civil Engineering and Engineering Mechanics invites applications for TWO tenure-track faculty positions to support a Department initiative in Sustainable Engineering. Qualified individuals are sought with expertise in either:

(1) Computational mechanics - with an emphasis on large-scale computing applied to multi-scale, multi-phase modeling of materials (from nano- to macro-scale), and/or mechanics and materials challenges in energy and/or the environment.

Equilibrium equations for large deformations

Submitted by Konstantin Volokh on

Lagrangian or referential equilibrium equations for materials undergoing large deformations are of interest in the developing fields of mechanics of soft biomaterials and nanomechanics. The main feature of these equations is the necessity to deal with the First Piola-Kirchhoff, or nominal, stress tensor which is a two-point tensor referring simultaneously to the reference and current configurations.

An effective bead-spring model for polymer simulation

Submitted by Bin Liu on

An effective bead-spring model combining the advantages of large time steps of traditional bead-rod models and computational rigor of traditional bead-spring models is proposed to simulate the dynamic behaviors of flexible polymer chains with arbitrary longitudinal stiffness. The proposed model can be used to simulate many types of polymer chains or networks with different chain elasticity via a unified integration scheme with reasonably large time steps. The paper can be found at http://dx.doi.org/10.1016/j.jcp.2007.11.012

Variational Theory: Variable-independence and Consistency

Submitted by Jian-zhong Zhao on

Variational theory of elasticity is surveyed in the context of mathematical logic in the present paper titled "Variational Theory: Variable-independence and Consistency" . The problem of variable-independence of variational principles raised by Professor Chien Wei-zang is discussed.