Higher order continuum models for cellular materials including damage
نویسندگان
چکیده
منابع مشابه
Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids
We propose a new upscaling scheme for the passage from atomistic to continuum mechanical models for crystalline solids. It is based on a Taylor expansion of the deformation function and allows us to capture the microscopic properties and the discreteness effects of the underlying atomistic system up to an arbitrary order. The resulting continuum mechanical model involves higher order terms and ...
متن کاملInequalities for Higher Order Ising Spins and for Continuum Fluids*
The recently derived Fortuin, Kasteleyn and Ginibre (FKG) inequalities for lattice gasses are investigated for higher order Ising spin systems and multi-component lattice gasses. Conditions are given for the validity of the FKG inequalities for higher order spin systems with Hamiltonians of the form used recently as models for various physical systems, e.g. He — He mixtures. We also investigate...
متن کاملA Cellular Nerve for Higher Order Categories
Introduction The following text arose from the desire to establish a rm relationship between higher order categories and topological spaces. Our approach combines the algebraic features of Michael Batanin's !-operads 1] with the geometric features of Andr e Joyal's cellular sets 15] and tries to mimick as far as possible the classical construction of the simplicial nerve of a category. Higher o...
متن کاملHigher Order Gradient Continuum Description of Atomistic Models for Crystalline Solids
We propose an upscaling scheme for the passage from atomistic to continuum mechanical models of crystalline solids. It is based on a Taylor expansion of the deformation function up to a given order and describes the material properties to a higher extent than commonly used continuum mechanical models. In particular, the discreteness effects of the underlying atomistic model are captured. The qu...
متن کاملSecond order sensitivity analysis for shape optimization of continuum structures
This study focuses on the optimization of the plane structure. Sequential quadratic programming (SQP) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. A new formulation for the second order sensitivity analysis of the two-dimensional finite element will be developed. All the second order required derivatives will be calculat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2004
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200410119