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Roger D. Peng is an author and professor of Statistics and Data Science at the University of Texas at Austin. [1] [2] Peng originally received a Bachelor of Science in Applied Mathematics from Yale University in 1999, before going on to study at the University of California, Los Angeles, where he completed a Master of Science in Statistics in 2001 and a PhD in Statistics in 2003.
The classical theory of contact focused primarily on non-adhesive contact where no tension force is allowed to occur within the contact area, i.e., contacting bodies can be separated without adhesion forces. Several analytical and numerical approaches have been used to solve contact problems that satisfy the no-adhesion condition.
The virial expansion is a model of thermodynamic equations of state. It expresses the pressure P of a gas in local equilibrium as a power series of the density. This equation may be represented in terms of the compressibility factor, Z, as This equation was first proposed by Kamerlingh Onnes. [1] The terms A, B, and C represent the virial ...
Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and which can be rewritten as a cubic function of the molar volume. Equations of state are generally applied in the fields of physical chemistry and chemical engineering, particularly in the modeling ...
v. t. e. Real gases are nonideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behaviour of real gases, the following must be taken into account: compressibility effects; variable specific heat capacity; van der Waals forces; non-equilibrium thermodynamic effects;
Thermodynamic modelling is a set of different strategies that are used by engineers and scientists to develop models capable of evaluating different thermodynamic properties of a system. At each thermodynamic equilibrium state of a system, the thermodynamic properties of the system are specified. Generally, thermodynamic models are mathematical ...
Contact forces are often decomposed into orthogonal components, one perpendicular to the surface(s) in contact called the normal force, and one parallel to the surface(s) in contact, called the friction force. [1] Not all forces are contact forces; for example, the weight of an object is the force between the object and the Earth, even though ...
Contact dynamics. Contact dynamics deals with the motion of multibody systems subjected to unilateral contacts and friction. [1] Such systems are omnipresent in many multibody dynamics applications. Consider for example. Contacts between wheels and ground in vehicle dynamics. Squealing of brakes due to friction induced oscillations.