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Continuum Mechanics Background
This chapter summarizes the basic relation needed to formulate the deformation of solids in the linear and nonlinear range. It is subdivided into the...
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Division into Classical and Non-classical Problems of Fracture Mechanics
In this chapter, the division of the problems of fracture mechanics into the classical and non-classical problems is presented in a relatively...
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Eight Non-Classical Problems of Fracture Mechanics
This book presents an analysis of eight non-classical problems of fracture and failure mechanics mainly obtained by research in the department of...
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Advancements in Continuum Mechanics and Electrodynamics by a spacetime geometric approach
Results achieved by the authors in the course of research activity on continuum mechanics and electrodynamics (CME) during the past twenty years are...
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Dynamic pull-in instability of multilayer graphene NEMSs: non-classical continuum model and molecular dynamics simulations
A novel non-classical continuum model for pull-in analysis of multilayer graphene sheets (MLGSs) is developed to consider the effect of shear...
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On the continuum mechanics of growing plant-like structures
The contribution at hand focuses on the introduction of a novel approach to model biological growth. The proposed formulations are chosen to...
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Gear bending fatigue life prediction based on continuum damage mechanics and linear elastic fracture mechanics
In this study, a comprehensive finite-element-based method, utilizing the continuum damage mechanics (CDM) theory and the linear elastic fracture...
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On General List of References to the Monograph “Eight Non-Classical Problems of Fracture Mechanics”
The general list of references to the monograph Aleksandr N. Guz, “Eight Non-classical Problems of Fracture Mechanics” Springer Nature, 2021, 390 pp....
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Fuzzy fatigue life prediction of fiber-reinforced laminated composites by continuum damage mechanics
Due to the uncertainty sources in fiber-reinforced plastic, deterministic analysis of damage of laminates under specific loadings, such as fatigue...
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Dynamic behavior of thermoelastic solid continua using mathematical model derived based on non-classical continuum mechanics with internal rotations
This paper considers dynamic behavior of non-classical thermoelastic solid continua. The mathematical model consists of the conservation and balance...
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Mixed variational continuum mechanics modeling: a multidomain subpotential approach
A multidomain macro-hybrid mixed variational subpotential approach of models in continuum mechanics is developed. Variational principles of mass...
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The Truesdell rate in Continuum Mechanics
What today we call Truesdell rate of the Cauchy stress was originally introduced by Truesdell, as a frame-indifferent measure of stress rate for his...
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Quantum Mechanics
In Chap. 14 , we covered the topic of relativity, which is concerned primarily with very large length scales in...
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Loading Devices and Non-classical Boundary Conditions
We review some works on non-classical boundary conditions, and loading devices inspired by discussions with late Professor J.L. Ericksen. For a...
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Thermodynamically consistent thermoelastic plate and shell formulations for small deformation and small strain using non-classical continuum mechanics incorporating internal rotations
The work presented in a recent paper by the authors [
35 ] for a thermodynamically consistent and kinematic assumption free plate and shell formulation...
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Post-buckling of web-core sandwich plates based on classical continuum mechanics: success and needs for non-classical formulations
The paper investigates the post-buckling response of web-core sandwich plates through classical continuum mechanics assumptions. The compressive...
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Mechanics of mixture unified gradient nanobars with elastic boundary conditions
Carbon nanotubes are one of the most influential constituents of advanced engineering systems. The classical continuum mechanics, however, ceases to...
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Lung Mechanics: A Review of Solid Mechanical Elasticity in Lung Parenchyma
The lung is the main organ of the respiratory system. Its purpose is to facilitate gas exchange (breathing). Mechanically, breathing may be described...
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Cosserat Continuum
This chapter develops the general Cosserat continuum theories, proposed by Cosserat brothers in 1909, and addresses their implementations in motion...
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On the importance of modified continuum mechanics to predict the vibration of an embedded nanosphere in fluid
In this paper, a novel analytical approach based on nonlocal strain gradient theory is proposed to investigate small-scale effects on the radial...
