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Course: GEOSC 508, Spring 2007School: Penn State
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Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting20 Apr. 2007Earthquake Source Properties and ScalingHanks Paper (At least: abstract, eq'ns 1-4, Figures 1-3) Scaling lawsEarthquake Source Properties, Spectra, Scaling, Self-similarityDisplacement and acce
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting11 Apr. 2007Mechanics of EarthquakesEarthquake quantification Energy, Moment, Magnitude Scaling laws Corner frequency, Brune Stress drop.Earthquakes represent failure on geologic faults. The rupture occurs
Penn State - GEOSC - 508
Vol 437|1 September 2005|doi:10.1038/nature03942LETTERSFracture surface energy of the Punchbowl fault, San Andreas systemJudith S. Chester1, Frederick M. Chester1 & Andreas K. Kronenberg1Fracture energy is a form of latent heat required to creat
Penn State - GEOSC - 508
Penn State - GEOSC - 508
Mechanics of Earthquakes and FaultingWednesday 24 Jan. 2007 Overview Milestones in continuum mechanics Concepts of modulus and stiffness. Stress-strain relations Elasticity Surface and body forces Tensors, Mohr circles. Theoretical strength of mater
Penn State - GEOSC - 508
Downloaded 08 Feb 2007 to 128.118.174.189. Redistribution subject to AIP license or copyright, see http:/jap.aip.org/jap/copyright.jspDownloaded 08 Feb 2007 to 128.118.174.189. Redistribution subject to AIP license or copyright, see http:/jap.aip.o
Penn State - GEOSC - 508
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting4 Apr. 2007Mechanics of FaultingEnergy Balance of Dynamic Faulting Earthquake quantification, Energy, Moment, Magnitude, Scaling laws Corner frequency, Brune Stress drop.Energy Balance of Dynamic Faulting
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting13 Apr. 2007Mechanics of EarthquakesHanks Paper (At least: abstract, eq'ns 1-4, Figures 1-3) G-R plots & scaling Scaling laws Corner frequency, Brune Stress drop.Seismic Source Spectra. Saturation occurs fo
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting25 Apr. 2007Earthquake Source Properties and ScalingEarthquake Source Properties, Spectra, Scaling, Self-similaritySource spectra for two events of equal stress drop: omega cube model -cube model, -3 Similar
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting31 Jan. 2007 Energy balance for crack propagation Stress intensity factors Static & dynamic fracture mechanics Critical energy release rate Process zone Crack models Failure Criteriau2 u1 u341r 2
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting7 Feb. 2007 Shear Fracture Energy Slip Weakening Law, Cohesive Zone Model Fluids: Mechanical, Chemical Effective Stress Dilatancy Dilatancy Hardening and Stability Mead, 1925 (Mead, W. J., The geologic ro
Penn State - GEOSC - 508
Mechanics of Earthquakes and Faulting9 Feb. 2007Dilatancy Hardening and Stability Mead, 1925 (Mead, W. J., The geologic role of dilatancy. Jour. Geol. 33, 685-698, 1925.) Volumetric work and stability. Frank, 1965 (Frank, F. C., On dilatancy in
Penn State - ME - 521
Homework Information and FormatAuthor: John M. Cimbala, Penn State University Latest revision, 15 August 2007Homework Philosophy One of the best ways to learn something is through practice and repetition. Therefore, homework assignments are extrem
Penn State - ME - 521
Falkner-Skan Wedge FlowsAuthor: John M. Cimbala, Penn State University Latest revision: 11 December 20071. Introduction In class we found a similarity solution for the laminar flat plate boundary layer, where the potential outer flow was simply U
Cornell - MATH - 1920
Questions: office hoursWednesday, January 26, 2005 2:26 PMLecturers: Hsiao-Bing Cheng: M: 2:30-3:30, W: 1:30-3:30, 438 Malott Hall. And by appointment. Ravi Ramakrishna: M: 1:30-2:30pm in 595 Malott Hall, T: 7:30-8:30pm in Room 3335 of the Tatkon
Penn State - ME - 521
Due: In class, Friday October 26, 2007NameME 521 Fall Semester, 2007Homework Set # 7Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 15 2 15 3 20 4 50 Total: 1001.2. 3.4.(15 pts) Text problem 3.7. Do two pa
Penn State - ME - 521
Due: In class, Friday November 30, 2007NameME 521 Fall Semester, 2007Homework Set # 10Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 15 2 30 3 25 4 30 Total: 1001.2.3.(15 pts) Text problem 6.3. The reason
Penn State - ME - 521
Due: In class, Friday September 14, 2007NameME 521 Fall Semester, 2007Homework Set # 2Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 30 2 15 3 15 4 15 5 15 6 10 Total: 1001.2.3.(30 pts) Mathematical manip
Penn State - ME - 521
t (min) 0 15 30 45 60 75 90 105 120 135 150 165 180 195 210 225 240c data (mg/m3) 220 173 109 94 60 41 39 20 18 10 9 6 4 3 3 2 1
Cornell - MATH - 1920
Formula PageWednesday, January 26, 2005 2:46 AMA B = |A|*|B| cos () cos () = cos (-) sin () = - sin (-) Law of Cosines: |A| + |B| - 2|A|*|B| cos = |(B - A)|CIRCLE centered at 3, -5 with a radius of 7. (x - 3) + (y + 5) = 49Plane in space: Ve
Penn State - ME - 521
Vorticity Production at a Wall How Does Vorticity get Produced?Author: John M. Cimbala, Penn State University Latest revision: 11 October 2007Note: Consider steady, incompressible, Newtonian flow in which gravity is neglected and the wall is stat
Penn State - ME - 521
Sample simultaneous equation solver using Excel: J. M. Cimbala, August 2001 Here is how I set this up to solve three equations simultaneously: Tools-Add-Ins-Solver Add-in-OK Set up cells B27 through D27 with initial guesses (I used 1.0 for each varia
Penn State - ME - 521
Homework Set 3, Problem 5, Fall 2006 J. M. Cimbalatime 8:00 8:05 8:10 8:15 8:20 8:25 8:30 8:35 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 9:40 9:45 9:50 9:55 10:00 10:05 10:10 10:15 10:20 10:25 10:30 10:35 10:40 10:45 10:50 10:55 1
Penn State - ME - 521
M E 521: Foundations of Fluid Mechanics I, Fall Semester 2007Latest update: 29 August 2007Lectures: Text: Prerequisite: Web Pages:Instructor: TA/Grader:Mon., Wed., Fri.: 1:25-2:15 p.m., Room 220 Hammond [Note the time and room change.] Fluid M
Penn State - ME - 521
Particle number distribution for Homework 10, Problem 5, ME 405, Fall 2006 J. M. CimbalaGiven: j = class (bin number) 1 2 3 4 5 6 7 8 9 10 11 12 13 D p ,min,j (lower limit) 0.4 0.8 1.2 2 3 4 5 6 8 10 12 15 20 D p ,max,j n j = count (upper per class
Penn State - ME - 521
Control Volume Example: Flat Plate Boundary LayerAuthor: John M. Cimbala, Penn State University Latest revision: 20 September 2007Given:Consider flow over a two-dimensional flat plate. The freestream flow upstream of the plate is steady, uniform
Cornell - MATH - 1920
14.3. Path Independence, Potential fcns. and Conservative FieldsTuesday, April 12, 2005 12:07 PM
Penn State - ME - 521
Example of how to solve simultaneous equations using Excel J. M. Cimbala, August 2005 Consider the following set of 3 simultaneous equations for 3 unknowns, a, b, and c: 3a + b - 2c = 4 4a - 3b + 2c = 0 2a - 4c = 5 Although it is not necessary, it is
Penn State - ME - 521
Due: In class, Friday September 28, 2007NameME 521 Fall Semester, 2007Homework Set # 4Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 15 2 10 3 10 4 15 5 10 6 40 Total: 1001. 2.3. 4.5.(15 pts) Text problem
Penn State - ME - 521
ME 405 Class Handout - Particle Size Statistics for Grouped Data, J. M. Cimbala, Latest revision: November 2006(Based on data from William C. Hinds, Aerosol Technology, Wiley, New York, 1982.) Note: All sizes are diameters in micrometers (or microns
Penn State - ME - 521
Leibniz Theorem and the Reynolds Transport Theorem for Control VolumesAuthor: John M. Cimbala, Penn State University Latest revision: 20 September 20071-D Leibniz TheoremThe one-dimensional form of the Leibniz theorem allows us to differentiate a
Penn State - ME - 521
Various Forms of the Bernoulli EquationAuthor: John M. Cimbala, Penn State University Latest revision: 25 September 2007Note: The fluid is assumed to be Newtonian, and gravity is assumed to act in the negative z direction [positive z is "up"]. All
Cornell - MATH - 1920
13.6 Triple Integrals in Cylindrical and Spherical CoordinatesWednesday, April 06, 2005 5:19 PM
Penn State - ME - 521
Due: In class, Friday November 9, 2007NameME 521 Fall Semester, 2007Homework Set # 9Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 15 2 15 3 20 4 20 5 15 6 15 Total: 1001. 2.(15 pts) Text problem 3.8. Note: D
Cornell - MATH - 1920
14.2. Vector Fields, Work, Circulation and FlowThursday, May 12, 2005 1:40 PM
Penn State - ME - 521
Due: In class, Friday October 5, 2007NameME 521 Fall Semester, 2007Homework Set # 5Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 15 2 15 3 50 4 20 Total: 1001.2.(15 pts) Text problem 3.1. For consistency,
Penn State - ME - 521
Eigenvalues, Eigenvectors, and Tensor InvariantsAuthor: John M. Cimbala, Penn State University Latest revision: 20 September 2007Let unprimed coordinates x1, x2, and x3 denote the original axes. Let primed coordinates x1, x2, and x3 denote the rot
Cornell - MATH - 1920
13.3 - Double Integrals in Polar FormWednesday, April 06, 2005 5:51 PM
Penn State - ME - 521
Due: In class, Friday September 7, 2007NameME 521 Fall Semester, 2007Homework Set # 1Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 10 2 20 3 10 4 10 5 10 6 10 7 20 8 10 Total: 1001.2.3.4.5. 6. 7.(10
Cornell - MATH - 1920
13.2. Areas, Moments and Centers of MassWednesday, April 06, 2005 5:51 PM
Penn State - ME - 521
Two-D stagnation point similarity solution using the Runge-Kutta methodJ. M. Cimbala Set the origin to 1 instead of zero (for vectors and arrays): ORIGIN := 1Note also that the number of displayed digits is adjusted by Format-Number, change Displa
Penn State - ME - 521
Axes Transformation Rules and Tensor Notation Rules for Cartesian TensorsAuthor: John M. Cimbala, Penn State University Latest revision: 20 September 2007Axes Transformation RulesLet unprimed coordinates x1, x2, and x3 denote the original axes. L
Penn State - ME - 521
Due: In class, Friday December 7, 2007NameME 521 Fall Semester, 2007Homework Set # 11Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 10 2 15 3 10 4 30 5 35 Total: 1001.(10 pts) Consider creeping flow (Stokes f
Penn State - ME - 521
Blasius flat plate boundary layer similarity solution by the Runge-Kutta methodJ. M. Cimbala The equation to solve is f' + cff' = 0, where prime denotes d/d. Here, let c = 1/2. c := 0.5 ORIGIN := 1We will define a vector Y which contains three unk
Penn State - ME - 521
The Heat Flux-Vorticity AnalogyAuthor: John M. Cimbala, Penn State University Latest revision: 10 October 2007Note: For simplicity, consider two-dimensional incompressible, Newtonian flow in the x-y plane.1. Heat Fluxy Consider a wall that is
Penn State - ME - 521
Motion of Fluid ParticlesAuthor: John M. Cimbala, Penn State University Latest revision: 20 September 2007A fluid particle can undergo four different types of motion, which we express as rates: rate of translation, rate of dilatation, rate of shea
Penn State - ME - 521
Due: In class, Friday September 21, 2007NameME 521 Fall Semester, 2007Homework Set # 3Professor J. M. CimbalaFor instructor or TA use only: Problem Score Points 1 10 2 20 3 15 4 10 5 45 Total: 1001.2.3.4.(10 pts) Text problem 2.2. N
Penn State - ME - 521
Elementary Planar Irrotational Flows in Complex VariablesAuthor: John M. Cimbala, Penn State University Latest revision: 17 October 2007Note: Consider steady, incompressible, irrotational, Newtonian fluid flow in which gravity is neglected. The fl
Penn State - ME - 521
Simple Runge-Kutta solution of an ODE J. M. Cimbala, September 2001 The equation to be solved is dy/dt = B - Ay, where in general A and B can be functions of time. The data are plotted on a separate sheet called "plot of y vs t". tstart = deltat = y(
Penn State - ME - 521
ME 405 Fall 2006Professor John M. Cimbala Lecture 2911/13/2006Today, we will: Complete the hood/exhaust fan example problem from last time Go over Exam 2 Discuss Computational Fluid Dynamics in Chapter 10Results of Exam 2: Mean: 72.7 Lo