Tensors

Finite strain theory

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 strain theory
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Finite Difference Method

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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Finite Quantum Well Example

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Quantum Mechanics

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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

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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"

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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"

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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

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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"

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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"

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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

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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"

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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

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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"

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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

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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)

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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

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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

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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

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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

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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

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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

Related pages

Deformation (physics) | Jacobian matrix and determinant | Piola–Kirchhoff stress tensor | Matrix exponential | Differentiable function | Curvilinear coordinates | Kronecker delta | Finite strain theory | Dot product | Two-point tensor | Augustin-Louis Cauchy | Partial derivative | Deformation gradient | Implicit function theorem | Invariants of tensors | Rigid body | Polar decomposition | George Green (mathematician) | Tensor | Basis (linear algebra) | Metric tensor | Transpose | Differential geometry | Q.E.D. | Symmetric tensor | Direction cosine | Eigendecomposition of a matrix | Vector field