Journal of Interfaces, Thin Films, and Low dimensional systems

A review of roughness coupling effects on the contact area, interfacial separation, adhesion, and friction between an elastic solid and a hard substrate with randomly rough, self-affine fractal surfaces

Document Type : Review Article

Authors

Faculty of Condensed Matter Physics, Department of Physics, Alzahra University, Tehran, Iran

Abstract

When two solids are squeezed together they generally do not make atomic contact everywhere within the nominal contact area.

This fact should be considered in many technological applications due to its enormous practical implications. In this paper, we briefly review Persson's contact mechanics and then review an extended version of Persson's contact mechanics. In the extended version, we consider that two solids are rough and calculate the effects of surface roughnesses of two solids on the area of real contact, adhesion, friction, and interfacial separation.

We show these values strongly depend on the roughness of two solids and the cross-correlation between them. Therefore, we present that there is no general mapping between systems of both surfaces being rough and self-similar, and those with only one surface being rough and self-similar.

Keywords

Main Subjects

Article Title [Persian]

مروری بر اثرات جفت شدگی زبری در ناحیه تماس، جداسازی سطحی، چسبندگی و اصطکاک بین یک جامد الاستیک و یک بستر سخت با سطوح ناهموار تصادفی فرکتال خود متناسب

Authors [Persian]

  • محدثه فشانجردی
  • امیرعلی مسعودی

گروه ماده چگال، دانشکده فیزیک، دانشگاه الزهرا، تهران، ایران

Abstract [Persian]

هنگامی که دو جامد به یکدیگر فشرده می شوند، معمولاً در همه جای ناحیه تماس اسمی تماس اتمی برقرار نمی کنند.

این واقعیت به دلیل پیامدهای عملی عظیم آن باید در بسیاری از کاربردهای تکنولوژیک مورد توجه قرار گیرد. در این مقاله، مکانیک تماس پرسون را به اختصار بررسی می کنیم و سپس یک نسخه توسعه یافته از مکانیک تماس پرسون را بررسی می کنیم. در نسخه توسعه‌یافته، ما دو جامد را ناهموار در نظر می‌گیریم و اثرات زبری سطح دو جامد را بر سطح تماس واقعی، چسبندگی، اصطکاک و جدایی سطحی محاسبه می‌کنیم.

ما نشان می‌دهیم که این مقادیر به شدت به زبری دو جامد و همبستگی متقابل بین آنها بستگی دارد. بنابراین، ما نشان می‌دهیم که هیچ نگاشت کلی، بین سیستم‌هایی که هر دو سطح تماس، ناهموار و خود مشابه هستند و آنهایی که فقط یک سطح آن‌ها ناهموار و خود مشابه هستند وجود ندارد.

Keywords [Persian]

  • فراکتال خود متناسب
  • تابع چگالی خود طیفی
  • همبستگی متقابل
  • تماس چسبنده
  • اصطکاک
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Journal of Interfaces, Thin Films, and Low dimensional systems
Volume 7, Issue 2
July 2024
Pages 773-788