Multiple length scales Rudd and Broughton, phys. stat. sol. (b) 217, 251 (2000). Molecular dynamics coupled with finite element methods Course grained.

Slides:

Advertisements

Similar presentations

Simulation in Materials Summary Friday, 12/6/2002.

Advertisements

Relevant Scalecm - mm mm - m m - nm Tunable Architectural Feature 3-D spatial location of truss elements Orientation, aspect ratio, wall thickness Composition,

4.3: HOW ATOMS DIFFER ATOMIC NUMBER

Test practice Multiplication. Multiplication 9x2.

Biological fluid mechanics at the micro‐ and nanoscale Lecture 7: Atomistic Modelling Classical Molecular Dynamics Simulations of Driven Systems Anne Tanguy.

An Introduction to Multiscale Modeling Scientific Computing and Numerical Analysis Seminar CAAM 699.

Chemical Quantities Imagine you had the following: 7g of lithium 12g of diamonds 28g of aluminium 80g of bromine 197g of gold Which one do you have the.

1 Numerical Study of the Vibration of a Periodically-supported Beam Final Presentation Dec 10, 2009 Brandon Rush.

60,200,000,000,000,000,000, x

Ansys Workbench 8 Case Study with Structural Vibration and Dynamics ME 520 Fundamentals of Finite Element Analysis.

Average Atomic Mass. Masses of Atoms A scale designed for atoms gives their small atomic masses in atomic mass units (amu) An atom of 12 C was assigned.

Chapter 2 Atoms, Molecules and Ions. Formula Weight & Molecular Weight The FORMULA WEIGHT of a compound equals the SUM of the atomic masses of the atoms.

Matter Unit January/February What is matter?

Mass Number Atomic Number equals the # of... NUCLEUS ELECTRONS PROTONS NEUTRONS NEGATIVE CHARGE POSITIVE CHARGE NEUTRAL CHARGE ATOM.

Analytical Vs Numerical Analysis in Solid Mechanics Dr. Arturo A. Fuentes Created by: Krishna Teja Gudapati.

Hydrogen molecular ion in a strong magnetic field by the Lagrange-mesh method Cocoyoc, February 2007 Daniel Baye Université Libre de Bruxelles, Belgium.

ES 240 Project: Finite Element Modeling of Nano- Indentation of Thin Film Materials.

The Finite Element Method A Practical Course

Quantitative Chemistry (Part 1) Isotopes Standard Atom for Mass Relative Atomic Mass Formula Mass Percentage Composition.

Simulations of associating polymers under shear J. Billen, M. Wilson, A.R.C. Baljon San Diego State University Funded by:

Dissipative Particle Dynamics. Molecular Dynamics, why slow? MD solves Newton’s equations of motion for atoms/molecules: Why MD is slow?

3.1Relative Atomic Mass Relative Mass Law of Constant Composition Relative Masses of Atoms Cannizzaro’s Paper.

Isotopes:Isotopes: atoms with the same number of protons but a different number of neutrons. –carbon-12 has 6 protons and 6 neutrons; –carbon-13.

An Extended Bridging Domain Method for Modeling Dynamic Fracture Hossein Talebi.

Average Atomic Mass What is average atomic mass? Average atomic mass is the weighted average of the atomic masses of the naturally occurring isotopes of.

Molecular dynamics (2) Langevin dynamics NVT and NPT ensembles

Note: When doing calculations never clear your calculator.

MODULE 08 MULTIDEGREE OF FREEDOM SYSTEMS. 2 Structure vibrating in a given mode can be considered as the Single Degree of Freedom (SDOF) system. Structure.

Chapter 4 AC Network Analysis Tai-Cheng Lee Electrical Engineering/GIEE 1.

Nano Mechanics and Materials: Theory, Multiscale Methods and Applications by Wing Kam Liu, Eduard G. Karpov, Harold S. Park.

Atomic Mass. Each element found on the periodic table of elements is given an atomic mass The atomic mass tells you the average mass of the atoms of an.

Chemical Composition … Moles Chemistry Mr. Lentz.

Isotopic Abundance Pages Thinking question Why are there decimal places for atomic masses on the periodic table if protons and neutrons have amu.

Average atomic mass of lithium isotopeabundanceatomic mass Li-67.49% amu Li % amu.

Chemical Formulas. Mass Percent Also known as percent composition. Shows the mass of each element in a compound as a percent of the total mass of the.

Enlargement Simple scale factors. Find the scale factor and the missing length ?

Atomic masses L.O.:  Define the terms relative isotopic mass and relative atomic mass, based on the 12C scale;  Calculate the relative atomic mass of.

 The measure of the force of gravity pulling on an object.

Mass Relationships in Chemical Reactions Chapter 3.

Ch. 9 – Moles Law of definite proportions – for a pure substance, each element is always present in the same proportion by mass. Also, for a pure substance,

Lagouge TARTIBU KWANDA Mechanical Engineering

Masses of Atoms.

Calculating Average Atomic Mass

Average Atomic Mass.

Empirical Formula Molecular Formula

Atomic Particles Particle Charge Mass # Location Electron -1

FEM Steps (Displacement Method)

أنماط الإدارة المدرسية وتفويض السلطة الدكتور أشرف الصايغ

Molar Conversions.

Average Atomic Mass.

Elemental Notation Competition

FINITE ELEMENT METHOD (INTRODUCTION)

Lesson 2 LT: I can use mass number and atomic number to

قوانين برگزاري مناقصات و آيين نامه مالي و معاملاتي دانشگاه علوم پزشكي و خدمات بهداشتي ،درماني تهران

Isotopes Atoms with SAME number of PROTONS (atomic number) but DIFFERENT numbers of neutrons (i.e. mass number) 6 protons 6 neutrons 6 protons 7 neutrons.

Average Atomic Mass.

Molar Conversions.

1. What are these two atoms of carbon called?

How We Know What We Can’t See Looks Like Day 4 Average Atomic Mass

FINITE ELEMENT METHOD (INTRODUCTION)

Average Atomic Mass.

Formulas/MOF Objectives

How We Know What We Can’t See Looks Like Day 4 Average Atomic Mass

1. What are these two atoms of carbon called?

Find the average of the following numbers…

Average Atomic Mass.

Continuum Simulation Monday, 9/30/2002.

Presentation transcript:

Multiple length scales Rudd and Broughton, phys. stat. sol. (b) 217, 251 (2000). Molecular dynamics coupled with finite element methods Course grained molecular dynamics

MEMS MicroElectroMechanical Systems Rudd and Broughton, phys. stat. sol. (b) 217, 251 (2000).

Hamiltonian for multiple length scales Rudd and Broughton, phys. stat. sol. (b) 217, 251 (2000).

MD Rudd and Broughton, phys. stat. sol. (b) 217, 251 (2000).

Tight-binding

Finite element

Finite element (cont.)

Finest mesh for diamond

Finite Element/MD handshaking

Course Grained Molecular Dynamics MD on mesh Each mesh point represents 1 or more atoms Node are displaced by dynamics of average forces and masses