The Fractal Calculus for Fractal Materials

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Connectivity calculus of fractal polyhedrons

The paper analyzes the connectivity information (more precisely, numbers of tunnels and their homological (co)cycle classification) of fractal polyhedra. Homology chain contractions and its combinatorial counterparts, called homological spanning forest (HSF), are presented here as an useful topological tool, which codifies such information and provides an hierarchical directed graph-based repre...

متن کامل

Fractal Materials, Beams, and Fracture Mechanics

Continuing in the vein of a recently developed generalization of continuum thermomechanics, in this paper we extend fracture mechanics and beam mechanics to materials described by fractional integrals involving D, d and R. By introducing a product measure instead of a Riesz measure, so as to ensure that the mechanical approach to continuum mechanics is consistent with the energetic approach, sp...

متن کامل

Fractal Weyl law for quantum fractal eigenstates.

The properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption. It is shown that the number of such states is described by the fractal Weyl law, and their Husimi distributions closely follow the strange repeller set formed by classical orbits nonescaping in future times. For large matrices the distribution of ...

متن کامل

A Fractional Calculus Approach to the Mechanics of Fractal Media

Based on the experimental observation of the size effects on the structural behavior of heterogeneous material specimens, the fractal features of the microstructure of such materials is rationally described. Once the fractal geometry of the microstructure is set, we can define the quantities characterizing the failure process of a disordered material (i.e. a fractal medium). These quantities sh...

متن کامل

Fractal Population Ecology Theory

Abstract Purpose - The aim of this paper is to describe the population ecology theory through fractal thinking, an emergent human operating system that is creative, adaptive, healthy, and evolutionary; furthermore, a parallel is drawn between the population ecology model and the fractal structure. Top-down hierarchies are typically characterized by command and control systems of the authority t...

متن کامل

ذخیره 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: Fractal and Fractional

سال: 2019

ISSN: 2504-3110

DOI: 10.3390/fractalfract3010008