Springer-Verlag Berlin, 2000, 306 pages
A novel and unified presentation of the elements of mechanics in material space or configurational mechanics, with applications to fracture and defect mechanics. The level is kept accessible for any engineer, scientist or graduate possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.
The contents of the book may be briefly summarized as follows:
The Introduction attempts to circumscribe the essential substance of the book and the spirit in which this substance is to be presented, drawing specific parallels between the Mechanics in Physical Space and the Mechanics in Material Space. As already mentioned, conservation and balance laws on both sides of this parallelism form the basis for developments in subsequent chapters, and this strictly mathematical topic is presented in Chapter 1 without explicit recourse to group theory.
The elements of the linear theory of elastictiy are recalled in Chapter 2, and conservation and balance laws in differential and integral form are established. Chapter 3 is devoted to the discussion of the properties of the Eshelby tensor, whereas the notions of energy-release rates, crack-extension forces and stress-intensity factors, which form the essence of linear elastic fracture mechanics, are introduced in Chapter 4.
Elastostatics in material space is extended to inhomogeneous elastostatics in Chapter 5 and to elastodynamics in Chapter
6. The treatment of dissipative systems of various kinds is taken up in Chapter 7, while Chapter 8 deals with interacting fields, where the elastic field is coupled in one instance to the electric field (piezoelectricity, dielectrics) and in another instance to the thermal field (thermoelasticity). The latter, based on an analogy, may also be interpreted as a fluid- saturated porous medium. It is a remarkable circumstance that some elements of fracture mechanics, such as energy-release rates and stress-intensity factors, might be developed not on the basis of continuum theories, but on the basis of the much older and simpler theories of strength-of-materials. Bars with cracks in tension-compression, shafts in torsion and beams and cylinders (pipes) in bending are dealt with in Chapter 9, while plates and shells are considered in the final Chapter 10.
A novel and unified presentation of the elements of mechanics in material space or configurational mechanics, with applications to fracture and defect mechanics. The level is kept accessible for any engineer, scientist or graduate possessing some knowledge of calculus and partial differential equations, and working in the various areas where rational use of materials is essential.
The contents of the book may be briefly summarized as follows:
The Introduction attempts to circumscribe the essential substance of the book and the spirit in which this substance is to be presented, drawing specific parallels between the Mechanics in Physical Space and the Mechanics in Material Space. As already mentioned, conservation and balance laws on both sides of this parallelism form the basis for developments in subsequent chapters, and this strictly mathematical topic is presented in Chapter 1 without explicit recourse to group theory.
The elements of the linear theory of elastictiy are recalled in Chapter 2, and conservation and balance laws in differential and integral form are established. Chapter 3 is devoted to the discussion of the properties of the Eshelby tensor, whereas the notions of energy-release rates, crack-extension forces and stress-intensity factors, which form the essence of linear elastic fracture mechanics, are introduced in Chapter 4.
Elastostatics in material space is extended to inhomogeneous elastostatics in Chapter 5 and to elastodynamics in Chapter
6. The treatment of dissipative systems of various kinds is taken up in Chapter 7, while Chapter 8 deals with interacting fields, where the elastic field is coupled in one instance to the electric field (piezoelectricity, dielectrics) and in another instance to the thermal field (thermoelasticity). The latter, based on an analogy, may also be interpreted as a fluid- saturated porous medium. It is a remarkable circumstance that some elements of fracture mechanics, such as energy-release rates and stress-intensity factors, might be developed not on the basis of continuum theories, but on the basis of the much older and simpler theories of strength-of-materials. Bars with cracks in tension-compression, shafts in torsion and beams and cylinders (pipes) in bending are dealt with in Chapter 9, while plates and shells are considered in the final Chapter 10.