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math.AP2020
A Shell Bonded to an Elastic Foundation and the Existence of Optimal Elastic and Geometric Conditions for the Membrane Case
Kavinda Jayawardana
In this article, we derive a mathematical model for a shell (i.e. a thin elastic body) bonded to an elastic foundation by modifying Koiter's linear shell equations. We prove the ex…
math.AP2011
An Analysis of Surface Relaxation in the Surface Cauchy--Born Model
K. Jayawardana, C. Mordacq, C. Ortner +1
The Surface Cauchy-Born (SCB) method is a computational multi-scale method for the simulation of surface-dominated crystalline materials. We present an error analysis of the SCB me…