In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory. In this case, the undeformed and deformed configurations of the continuum are significantly different, requiring a clear distinction between them. This is commonly the case with elastomers, plastically-deforming materials and other fluids and biological soft tissue. (Wikipedia).
Finite Difference Method for finding roots of functions including an example and visual representation. Also includes discussions of Forward, Backward, and Central Finite Difference as well as overview of higher order versions of Finite Difference. Chapters 0:00 Intro 0:04 Secant Method R
From playlist Root Finding
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From playlist Quantum Mechanics
Model theory and combinatorics of finite fields - Alexis Chevalier
Short Talks by Postdoctoral Members Topic: Model theory and combinatorics of finite fields Speaker: Alexis Chevalier Affiliation: Member, School of Mathematics Date: September 21, 2022
From playlist Mathematics
Dugald Macpherson: Pseudofinite groups I
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: An infinite group is pseudofinite if it has the 'finite model property' – that is, if every sentence of first order logic which is true of it is also true of some
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Dugald Macpherson: Pseudofinite groups III
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: An infinite group is pseudofinite if it has the 'finite model property' – that is, if every sentence of first order logic which is true of it is also true of some
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Approximating the Jacobian: Finite Difference Method for Systems of Nonlinear Equations
Generalized Finite Difference Method for Simultaneous Nonlinear Systems by approximating the Jacobian using the limit of partial derivatives with the forward finite difference. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:13 Prerequisites 0:3
From playlist Solving Systems of Nonlinear Equations
John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj
John Foster: Finite deformation constitutive models and mechanics of peridynamic mixtures tcsproj The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Non-local Material Models and Concurrent Multiscale Methods. (3 - 7.04.2017) The
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Dugald Macpherson: Pseudofinite groups II
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: An infinite group is pseudofinite if it has the 'finite model property' – that is, if every sentence of first order logic which is true of it is also true of some
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Lec 4 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis
Lecture 4: Generalized coordinate finite element models Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Linear Finite Element Analysis
Anter El-Azab: Mesoscale crystal plasticity based on continuum dislocation dynamics
Anter El-Azab: Mesoscale crystal plasticity based on continuum dislocation dynamics: mathematical formalism and numerical solution The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Non-local Material Models and Concurrent Multisc
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Vorticity field for plunging plate in a quiescent fluid
Vorticity field for a flat plate plunging in a still fluid. For more details, see our papers: https://scholar.google.com/citations?user=TjzWdigAAAAJ&hl=en
From playlist Finite-time Lyapunov exponents
Robert Lipton: Nonlocal theories for free crack propagation in brittle materials (Lecture 1)
The dynamic fracture of brittle solids is a particularly interesting collective interaction connecting both large and small length scales. Apply enough stress or strain to a sample of brittle material and one eventually snaps bonds at the atomistic scale leading to fracture of the macrosco
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Elementary Mechanisms of Deformation in Amorphous Solids: From... by A. Lemaitre
Conference and School on Nucleation Aggregation and Growth URL: https://www.icts.res.in/program/NAG2010 DATES: Monday 26 July, 2010 - Friday 06 Aug, 2010 VENUE : Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru DESCRIPTION: Venue: Jawaharlal Nehru Centre for Advance
From playlist Conference and School on Nucleation Aggregation and Growth
Objective Barriers to Passive Transport (Lecture 1) by George Haller
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Linear elasticity theory. Part 2. Equilibrium equations.
Condition on the components of the stress tensor from considering the equilibrium equations; i.e. sum the forces and moments - except at each point! Lectures created for Mechanics of Solids and Structures course at Olin College.
From playlist Lectures for mechanics of solids and structures
Lec 19 | MIT Finite Element Procedures for Solids and Structures, Nonlinear Analysis
Lecture 19: Beam, plate, and shell elements I Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Nonlinear Finite Element Analysis
Developments in superstring perturbation theory
Distinguished Visitor Lecture Series Developments in superstring perturbation theory Ashoke Sen Harish-Chandra Research Institute, Allahabad, India
From playlist Distinguished Visitors Lecture Series
Elastic Finite Time Singularities in An Active Medium : Emergence of Stress... by Madan Rao
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
2020 Theory Winter School: Liang Fu
Topic: High-order Van Hove singularity and it’s consequences For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school
From playlist 2020 Theory Winter School
Conformal Field Theory (CFT) | Infinitesimal Conformal Transformations
Conformal field theories are used in many areas of physics, from condensed matter physics, to statistical physics to string theory. They are defined as quantum field theories that are invariant under so-called conformal transformations. In this video, we will investigate these conformal tr
From playlist Particle Physics