Mechanics of Finite Deformation and Fracture

Research output: Book/ReportBook

Abstract

This important work covers the fundamentals of finite deformation in solids and constitutive relations for different types of stresses in large deformation of solids. In addition, the book covers the fracture phenomena in brittle or
quasi-brittle materials in which large deformation does not occur. This is provided in part two of the book, whereby chapters 6 to 10 present a thorough step-by-step understanding of fracture mechanics can be achieved.

Since mathematical proof with full derivation is demonstrated throughout the book, readers will gain the skills to understand and drive the basic concepts on their own, enabling them to put forward new ideas and solutions.

Finite deformations in material can occur with change of geometry such that the deformed shape may not resemble the initial shape. Analyzing these types of deformations needs a particular mathematical tool that is always associated with tensor notations. In general the geometry may be non-orthogonal, and the use of covariant and contra-variant tensor concepts to express the finite deformations and the associated mechanical strains are needed. In addition, it is obvious that in large deformations, there are several definitions for stress, each depending on the frame of the stress definitions. The constitutive equations in material, also depends on the type of stress that is introduced. In simulation of
the material deformation, components of the deformation tensor will be transformed from one frame to another either in orthogonal or in non-orthogonal coordinate of geometry. This informative book covers all this in detail.
Original languageEnglish
PublisherApple Academic Press
Number of pages290
ISBN (Electronic)978-1-4987-1702-1
ISBN (Print)978-1-771880-98-5
Publication statusPublished - Oct 2015

Fingerprint

tensors
geometry
brittle materials
fracture mechanics
constitutive equations
readers
coding
derivation
simulation

Keywords

  • Mechanics of Finite Deformations
  • Mechanics of Fracture

Cite this

Mechanics of Finite Deformation and Fracture. / Aleyaasin, Majid.

Apple Academic Press, 2015. 290 p.

Research output: Book/ReportBook

Aleyaasin M. Mechanics of Finite Deformation and Fracture. Apple Academic Press, 2015. 290 p.
Aleyaasin, Majid. / Mechanics of Finite Deformation and Fracture. Apple Academic Press, 2015. 290 p.
@book{6c15cece9ae44ac3a4bad1d8984b28e5,
title = "Mechanics of Finite Deformation and Fracture",
abstract = "This important work covers the fundamentals of finite deformation in solids and constitutive relations for different types of stresses in large deformation of solids. In addition, the book covers the fracture phenomena in brittle orquasi-brittle materials in which large deformation does not occur. This is provided in part two of the book, whereby chapters 6 to 10 present a thorough step-by-step understanding of fracture mechanics can be achieved. Since mathematical proof with full derivation is demonstrated throughout the book, readers will gain the skills to understand and drive the basic concepts on their own, enabling them to put forward new ideas and solutions.Finite deformations in material can occur with change of geometry such that the deformed shape may not resemble the initial shape. Analyzing these types of deformations needs a particular mathematical tool that is always associated with tensor notations. In general the geometry may be non-orthogonal, and the use of covariant and contra-variant tensor concepts to express the finite deformations and the associated mechanical strains are needed. In addition, it is obvious that in large deformations, there are several definitions for stress, each depending on the frame of the stress definitions. The constitutive equations in material, also depends on the type of stress that is introduced. In simulation ofthe material deformation, components of the deformation tensor will be transformed from one frame to another either in orthogonal or in non-orthogonal coordinate of geometry. This informative book covers all this in detail.",
keywords = "Mechanics of Finite Deformations, Mechanics of Fracture",
author = "Majid Aleyaasin",
year = "2015",
month = "10",
language = "English",
isbn = "978-1-771880-98-5",
publisher = "Apple Academic Press",

}

TY - BOOK

T1 - Mechanics of Finite Deformation and Fracture

AU - Aleyaasin, Majid

PY - 2015/10

Y1 - 2015/10

N2 - This important work covers the fundamentals of finite deformation in solids and constitutive relations for different types of stresses in large deformation of solids. In addition, the book covers the fracture phenomena in brittle orquasi-brittle materials in which large deformation does not occur. This is provided in part two of the book, whereby chapters 6 to 10 present a thorough step-by-step understanding of fracture mechanics can be achieved. Since mathematical proof with full derivation is demonstrated throughout the book, readers will gain the skills to understand and drive the basic concepts on their own, enabling them to put forward new ideas and solutions.Finite deformations in material can occur with change of geometry such that the deformed shape may not resemble the initial shape. Analyzing these types of deformations needs a particular mathematical tool that is always associated with tensor notations. In general the geometry may be non-orthogonal, and the use of covariant and contra-variant tensor concepts to express the finite deformations and the associated mechanical strains are needed. In addition, it is obvious that in large deformations, there are several definitions for stress, each depending on the frame of the stress definitions. The constitutive equations in material, also depends on the type of stress that is introduced. In simulation ofthe material deformation, components of the deformation tensor will be transformed from one frame to another either in orthogonal or in non-orthogonal coordinate of geometry. This informative book covers all this in detail.

AB - This important work covers the fundamentals of finite deformation in solids and constitutive relations for different types of stresses in large deformation of solids. In addition, the book covers the fracture phenomena in brittle orquasi-brittle materials in which large deformation does not occur. This is provided in part two of the book, whereby chapters 6 to 10 present a thorough step-by-step understanding of fracture mechanics can be achieved. Since mathematical proof with full derivation is demonstrated throughout the book, readers will gain the skills to understand and drive the basic concepts on their own, enabling them to put forward new ideas and solutions.Finite deformations in material can occur with change of geometry such that the deformed shape may not resemble the initial shape. Analyzing these types of deformations needs a particular mathematical tool that is always associated with tensor notations. In general the geometry may be non-orthogonal, and the use of covariant and contra-variant tensor concepts to express the finite deformations and the associated mechanical strains are needed. In addition, it is obvious that in large deformations, there are several definitions for stress, each depending on the frame of the stress definitions. The constitutive equations in material, also depends on the type of stress that is introduced. In simulation ofthe material deformation, components of the deformation tensor will be transformed from one frame to another either in orthogonal or in non-orthogonal coordinate of geometry. This informative book covers all this in detail.

KW - Mechanics of Finite Deformations

KW - Mechanics of Fracture

M3 - Book

SN - 978-1-771880-98-5

BT - Mechanics of Finite Deformation and Fracture

PB - Apple Academic Press

ER -