TAILIEUCHUNG - Ebook An introduction to continuum mechanics (2nd edition): Part 2

(BQ) Part 2 book "An introduction to continuum mechanics" has contents: Conservation and balance laws, constitutive equations, linearized elasticity, fluid mechanics and heat transfer, linearized viscoelasticity. | 5 CONSERVATION AND BALANCE LAWS Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena. —– Leonard Euler (1707–1783) Nothing is too wonderful to be true if it be consistent with the laws of nature. —– Michael Faraday (1791–1867) Introduction Virtually every phenomenon in nature can be described in terms of mathematical relations among certain quantities that are responsible for the phenomenon. Most mathematical models of physical phenomena are based on fundamental scientific laws of physics that are extracted from centuries of observations and research on the behavior of mechanical systems subjected to the action of natural forces. The most exciting thing about the laws of physics, which are also termed principles of mechanics, is that they govern biological systems as well (because of mass and energy transports). However, biological systems may require additional laws, yet to be discovered, from biology and chemistry to reasonably complete their descriptions. This chapter is devoted to the study of fundamental laws of physics and resulting mathematical models as applied to mechanical systems. The laws of physics are expressed in analytical form with the aid of the concepts and quantities introduced in the previous chapters. The principles of mechanics to be studied are (1) the principle of conservation of mass, (2) the principle of balance of linear momentum, (3) the principle of balance of angular momentum, and (4) the principle of balance of energy. These principles allow us to write mathematical relationships – algebraic, differential, or integral type – between quantities such as displacements, velocities, temperature, stresses, and strains that arise in mechanical systems. The solution of these equations, in conjunction with the constitutive relations and boundary and initial .

• Toán học
• Continuum mechanics
• Conservation and balance laws
• Constitutive equations
• Linearized elasticity
• Fluid mechanics
• Linearized viscoelasticity
• Spencer Operator
• Mathematical Physics
• Reconstructed Microstructures
• Introduction to continuum mechanics
• The indicial notation
• Tensor calculus
• Curvilinear coordinates
• Kinematics of a continuum
• Orthogonal
• Trace of a Tensor
• Identity Tensor and Tensor
• Finite deformation
• Euclidean objectivity
• Material symmetry
• Viscoelastic materials
• Second law of thermodynamics
• The elastic solid
• Linear anisotropic elastic solid
• Constitutive equation
• Newtonian viscous fluid
• General principles
• Newtonian fluids
• A look forward
• Vector algebra
• Theory of matrices
• Vector calculus
• Kinematics of continua
• Journal of technology and science education
• Self assessment exercises in continuum mechanics with autonomous learning
• Self assessment exercises in continuum mechanics
• Self assessment exercises
• Practice GRAPAU of the RIMA Project
• Mechanical sciences
• Space fractional continuum mechanics model approximation
• Continuum non local model
• Fractional calculus
• Fractional mechanics
• The continuum
• Fundamental laws
• Constitutive relations
• Particular fluids
• Laminar unidirectional flows
• Vietnam Journal of Mechanics
• Generalized continuum overall modelling
• periodic composite structures
• The real structure
• The additional boundary conditions required
• The notion of stress
• The equations of motion
• An elastic medium
• Statics of elastic media
• Creeping flow
• The subject of rock mechanics
• Content of this book
• Geological setting
• Natural rock environments
• Stress as a point property
• Nature of fluids
• Fluid as a continuum
• Pressure variation
• hydraulic pressure
• Properties of fluids
• Autonomous production cells
• Cellular manufacturing
• Group technology
• Kaizen blitz
• Kanban system
• tài liệu cơ khí
• sổ tay cơ khí
• cơ khí chế tạo máy
• hướng dẫn cơ khí
• luyện thi cơ khí