Two-dimensional Hertzian contact problem with surface tension
نویسندگان
چکیده
منابع مشابه
Determining a Surrogate Contact Pair in a Hertzian Contact Problem.
Laboratory testing of contact phenomena can be prohibitively expensive if the interacting bodies are geometrically complicated. This work demonstrates means to mitigate such problems by exploiting the established observation that two geometrically dissimilar contact pairs may exhibit the same contact mechanics. Specific formulas are derived that allow a complicated Hertzian contact pair to be r...
متن کاملOn the Stefan Problem with Surface Tension
1. Introduction The classical Stefan problem is a model for phase transitions in solid-liquid systems and accounts for heat diiusion and exchange of latent heat in a homogeneous medium. The strong formulation of this model corresponds to a moving boundary problem involving a parabolic diiusion equation for each phase and a transmission condition prescribed at the interface separating the phases...
متن کاملThe Stefan Problem with Small Surface Tension
The Stefan problem with small surface tension e is considered. Assuming that the classical Stefan problem (with s = 0) has a smooth free boundary T, we denote the temperature of the solution by 60 and consider an approximate solution 60 + su for the case where e ^ 0, e small. We first establish the existence and uniqueness of u , and then investigate the effect of u on the free boundary T. It i...
متن کاملThe Zero Surface Tension Limit of Two-Dimensional Water Waves
We consider two-dimensional water waves of infinite depth, periodic in the horizontal direction. It has been proven by Wu (in the slightly different nonperiodic setting) that solutions to this initial value problem exist in the absence of surface tension. Recently Ambrose has proven that solutions exist when surface tension is taken into account. In this paper, we provide a shorter, more elemen...
متن کاملSurface Tension in the Two-dimensional Ising Model
Synopsis We examine several definitions of surface tension between oppositely magnetised phases in the two-dimensional Ising model. With nearest-neighbour attractive interactions, we prove that at low temperatures (large B) all the definitions agree with that of Onsager.
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: International Journal of Solids and Structures
سال: 2012
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2012.03.017