|
|
libcats.org
Strain- and stress-based continuum damage modelsSilmo J.Continuum elastoplastic damage mbdels employing irreversible thermodynamics and internal state variables are developed within two alternative dual frameworks. In a strain [stress]-based formulation, damage is characterized through the effective stress [strain] concept together with the hypothesis of strain [stress] equivalence, and plastic flow is introduced by means of an additive split of the stress [strain] tensor. In a strain-based formulation we redefine the equivalent strain, usually defined as the J2-norm of the strain tensor, as the (undamaged) energy norm of the strain tensor. In a stress-based approach we employ the complementary energy norm of the stress tensor. These thermodynamically motivated definitions result, for ductile damage, in symmetric elastic-damage moduli. For brittle damage, a simple strain-based anisotropic characterization of damage is proposed that can predict crack development parallel to the axis of loading (splitting mode). The strain- and stress-based frameworks lead to dual but not equivalent formulations, neither physically nor computationally. A viscous regularization of strain-based, rate-independent damage models is also developed, with a structure analogous to viscoplasticity of the Perzyna type, which produces retardation of microcrack growth at higher strain rates. This regularization leads to well-posed initial value problems. Application is made to the cap model with an isotropic strain-based damage mechanism. Comparisons with experimental results and numerical simulations are undertaken in Part II of this work.
EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Ash, Sarah - The Tears of Artamon 1 - Lord of Snow and ShadowsАвтор: Ash Sarah
Размер книги: 1.07 Mb
Neuroanatomy. An Atlas of StructuresАвтор: Duane E. HainesКатегория: Молекулярная биология
Размер книги: 5.57 Mb
Игровые приставки. Dendy [Nes], Game Boy, Sega Mega Drive, Sony PlaystationАвтор: Королев А. Г.Категория: Наука. Техника
Размер книги: 7.55 Mb
Общій курсъ русской грамматикиАвтор: В. А. БогородицкійКатегория: Филология
Размер книги: 12.35 Mb
Secrets of Heaven 2: Portable: The Portable New Century Edition (Epub & Mobi)Автор: Emanuel SwdenborgКатегория: Christian
Размер книги: 1.29 Mb
|
|
|