Lecture

Fracture Mechanics: Energy Analysis

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

In course

ME-437: Advanced solid mechanics

Description

This lecture covers the energy analysis in fracture mechanics, focusing on the unstable crack growth under simple load. The instructor discusses the energy release rate, surface energy, and the concept of stored elastic energy. Various geometries and their energy implications are explored, such as the Double Cantilever Beam. The lecture emphasizes the importance of understanding the energy changes during crack growth and the critical load for stability. Strategies for measuring and controlling displacement and load are discussed, highlighting the significance of compliance in structural behavior.

Official source

Ontological neighbourhood

Civil engineering

Structural engineering: Topics in structural engineering

Related concepts (32)

Type system

In computer programming, a type system is a logical system comprising a set of rules that assigns a property called a type (for example, integer, floating point, string) to every "term" (a word, phrase, or other set of symbols). Usually the terms are various constructs of a computer program, such as variables, expressions, functions, or modules. A type system dictates the operations that can be performed on a term. For variables, the type system determines the allowed values of that term.

Type theory

In mathematics, logic, and computer science, a type theory is the formal presentation of a specific type system, and in general, type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theories that were proposed as foundations are Alonzo Church's typed λ-calculus and Per Martin-Löf's intuitionistic type theory. Most computerized proof-writing systems use a type theory for their foundation, a common one is Thierry Coquand's Calculus of Inductive Constructions.

Type safety

In computer science, type safety and type soundness are the extent to which a programming language discourages or prevents type errors. Type safety is sometimes alternatively considered to be a property of facilities of a computer language; that is, some facilities are type-safe and their usage will not result in type errors, while other facilities in the same language may be type-unsafe and a program using them may encounter type errors.

Type inference

Type inference refers to the automatic detection of the type of an expression in a formal language. These include programming languages and mathematical type systems, but also natural languages in some branches of computer science and linguistics. Types in a most general view can be associated to a designated use suggesting and restricting the activities possible for an object of that type. Many nouns in language specify such uses. For instance, the word leash indicates a different use than the word line.

Data type

In computer science and computer programming, a data type (or simply type) is a collection or grouping of data values, usually specified by a set of possible values, a set of allowed operations on these values, and/or a representation of these values as machine types. A data type specification in a program constrains the possible values that an expression, such as a variable or a function call, might take. On literal data, it tells the compiler or interpreter how the programmer intends to use the data.

Related lectures (64)

Fracture Analysis: Energy and Mechanics

Explores macroscopic energy analysis of fracture, focusing on unstable crack growth and energy mechanics.

Designing Learning Experiences: CS411 Class Project

Introduces the CS411 Class Project, where students design and test a lesson using learning theories.

Fracture Mechanics: Crack Growth and Weakest Link

Explores fracture mechanics, crack growth, and the weakest link theory, emphasizing the statistical distribution of crack sizes and the significance of the largest crack in material failure.

Fracture Mechanics: Crack Growth and Stress Intensity Factor

Explores crack growth, stress intensity factor, and fracture toughness in materials.

Rigorous Bounds: Isotropic Phases