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Fracture Mechanics: With an Introduction to Micromechanics

Dietmar Gross Thomas Seelig

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Palabras clave – provistas por la editorial

Continuum Mechanics and Mechanics of Materials; Characterization and Evaluation of Materials; Structural Mechanics

Disponibilidad
Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-3-540-24034-1

ISBN electrónico

978-3-540-35849-7

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer-Verlag Berlin Heidelberg 2006

Cobertura temática

Tabla de contenidos

Elements of solid mechanics

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 5-38

Classical fracture and failure hypotheses

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 39-48

Micro and macro phenomena of fracture

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 49-57

Linear fracture mechanics

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 59-135

Elastic-plastic fracture mechanics

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 137-172

Creep fracture

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 173-193

Dynamic fracture mechanics

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 195-215

Micromechanics and homogenization

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 217-287

Damage mechanics

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 289-301

Probabilistic fracture mechanics

Dietmar Gross; Thomas Seelig

The presence of nonsmooth nonlinear characteristics such as dead-zone, backlash, hysteresis and piecewise-linearity is common in actuators and sensors, such as mechanical connections, hydraulic actuators and electric servomotors [47], [51], [91]. In most cases, they are caused by imperfections of system component characteristics. A dead-zone is a static “memoryless” nonlinearity which describes the component’s insensitivity to small signals. Backlash and hysteresis include delays in addition to insensitivity and are dynamic in nature. The presence of these nonlinearities severely limits system performance, giving rise to undesirable inaccuracy or oscillations or even leading to instability. For example, backlash prevents accurate positioning and may lead to chattering and limit cycles. The resultant wear and tear of gears increases backlash. These nonlinearities are usually poorly known and may vary with time. Also, in mass production, they vary from component to component. There are ways to overcome some of these problems such as the use of anti-backlash gears, however, they are quite costly. The same applies to materials with low hysteresis being costly. A desirable feedback control system should be able to compensate for such uncertainties.

Pp. 303-313