Comment on Hyperbolicity of Wave Problem for Valanis’ Global Damage Theory
In a very interesting and stimulating recent paper, Valanis (199l) proposed a new type of nonlocal damage theory, called the global damage theory. Some conclusions of this paper, however, require further analysis, which is the purpose of this technical note. Offering as motivation some questionable and unfounded critical comments on the nonlocal damage theory originally proposed by Pijaudier-Cabot and Baiant (1987) and Baiant and Pijaudier-Cabot ( 1988), Valanis formulated a different theory and cltrimed it to be superior because, as he stated, it exhibits unconditional hyperbolicity of the wave problem. On closer scrutiny, though, Valanis' claim is found to be invalid, and for further development of nonlocal damage models it is important to understand why.
A Global Damage Theory and the Hyperbolicity of the Wave Problem
Here we develop a global damage theory by (a) introducing a damage coordinate which is a spatial functional of the strain field in the material domain and (b) stipulating that the rate of evolution of damage is with respect to the damage coordinate. We then derive the axial wave equation for a thin rod
Beyond zero tolerance : discrimination in military culture
Chapter 1 Introduction: Rethinking Military Culture Part 2 Constructing Military Culture Chapter 3 Discrimination and Military Cohesion: An Organizational Perspective Chapter 4 Military Folk Culture Chapter 5 Dressed to Kill? The Paradox of Women in Military Uniforms Chapter 6 A Tangled Webb the Navy Can't Afford Chapter 7 Women at the U.S. Army War College Part 8 The Military, Society, and Policy Chapter 9 Reflections of Society: The Intersection of Race and Gender in the U.S. Army in World War II Chapter 10 Intersectionality: A Necessary Consideration for Women of Color in the Military? Chapter 11 In War and Peace: Incidence and Implications of Rape by Military Personnel Chapter 12 Persistence of Sexual Harassment: The Impact of Military Culture on Policy Implementation Chapter 13 A Culture of Silence: Consequences of Don't Ask, Don't Tell, Don't Pursue Chapter 14 Gender and Sexual Orientation Diversity in Modern Military Forces: Cross-National Patterns Chapter 15 Military Culture and Military Families