Oblique indentation of creeping solids |
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| Affiliation: | 1. School of Chemistry & Physics, University of KwaZulu-Natal, Pietermaritzburg Campus, Private Bag X01, Scottsville, 3209, South Africa;2. Department of Physics, Lagos State University, Ojo, Lagos, Nigeria;1. Institutes of Physical Science and Information Technology, Anhui University, Hefei, 230601, PR China;2. Key Laboratory of Stucture and Functional Regulation of Hybrid Materials, Anhui University, Ministry of Education, Heifei, 230601, PR China;3. Institute of Applied Physics, PLA Army Academy of Artillery & Air Defense, Hefei, 230031, PR China;1. Birck Nanotechnology Center, Purdue University, West Lafayette, IN 47907-2057, USA;2. School of Materials Engineering, Purdue University, West Lafayette, IN 47907-2045, USA;3. School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-2088, USA;1. Department of Materials Science and Engineering, Clemson University, Clemson, SC 29634, USA;2. Department of Electrical and Computer Engineering, Clemson University, Clemson, SC 29634, USA;3. COMSET - Center for Optical Materials Science and Engineering Technologies, Clemson University, Anderson, SC 29635, USA;4. School of Physics and Electrical Technology, Yancheng Teachers University, Yancheng, Jiangsu 224002, China;5. School of Material Science and Engineering, Jiangsu University, No. 301 Xuefu Road, Zhenjiang 212013, PR China;1. Microsoft, One Microsoft Way, Redmond, WA 98052, United States;2. Mechanical and Aerospace Engineering Department, Case Western Reserve University, Cleveland, OH 44106, United States |
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| Abstract: | Oblique indentation of power law creeping solids at plane strain conditions is examined with rigid-perfectly plastic material behaviour emerging as an asymptotic case. Indenter profiles are dealt with in general circumstances and represented by homogeneous functions. The core of the method developed draws on self-similarity and is based on an intermediate flat die solution. By this approach the problem of a moving contact boundary may be suppressed and the ensuing procedure becomes independent of loading, geometry, history and time. A computational method, based on the reduced procedure, is developed to obtain high accuracy solutions based on finite elements and applicable to non-linear elasticity. The originally stated problem is then solved subsequently by simple cumulative superposition and results given as a function of impression depth. The relation between contact depth and area is found to be invariant and only dependent on the power law exponent, the amount of friction, the profile and the angle of inclination of the indenter. Detailed results are given for local states of stress and deformation for flat and cylindrical dies at variation of the remaining three stated parameters. The presence of local stick and slip is given due attention and global relations between loading and indentation depth and contact area discussed for practical applications. The fundamental framework laid down may be applied to structural assemblies, joints and seals and diverse applications as flattening of rough surfaces, compaction of powder aggregates and ice-offshore structure interaction. |
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