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Teng zhang's picture

Symplectic Analysis of Wrinkles in Elastic Layers with Graded Stiffnesses

Wed, 2018-10-03 11:12 - Teng zhang
research
wrinkles
gradient
symplectic analysis

Wrinkles in layered neo-Hookean structures were recently formulated as a Hamiltonian system by taking the thickness direction as a pseudo-time variable. This enabled an efficient and accurate numerical method to solve the eigenvalue problem for onset wrinkles. Here, we show that wrinkles in graded elastic layers can also be described as a time-varying Hamiltonian system. The connection between wrinkles and the Hamiltonian system is established through an energy method.

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How to deal with noisy data in a mesh free Galerkin method

Mon, 2011-05-23 14:03 - Micah Paul
Forums: 
Computational Mechanics Forum
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research
Free Tags: 
fluid mechanics
computational mechanics
meshfree
gradient
meshfree method
fluids
particles tracking
Noise
Element-free Galerkin method
PTV
natural neighbor

I'm currently working with a particle tracking velocimetry method, specifically trying to extract shear and vorticity data from the non-gridded velocity results. Of several methods used, the most efficient and accurate was based on a non-Sibsonian element free method. Unlike a more typical Galerkin problem which finds displacements by solving a PDE, this method uses the displacements of natural neighbors to find local flow gradients. 

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Wenbin Yu's picture

DNAD, a simple tool for automatic differentiation

Tue, 2011-04-12 23:04 - Wenbin Yu
software
free software
gradient
derivatives
finite difference
Optimization
sensitivities

All,

I am writing to introduce DNAD, a Fortran module I wrote for automatic differentiation of analysis codes written in Fortran including those legacy codes written in Fortran 77. Although only implementation using Fortran 90/95 was carried out, it is straightward to translate it to a language you like such as c/c++.

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Rashid K. Abu Al-Rub's picture

Strain Gradient Plasticity

Mon, 2007-05-07 13:18 - Rashid K. Abu Al-Rub
research
thin film
Plasticity
gradient

Recently, there have been many strain gradient theories that are used for the interpretation of size effect at the micron and submicron length scales. The basic idea of these theories is the introduction of a first, or second (or both) gradients of strain or any internal state variable in the governing equations of classical theories.

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