Daniel Mendelsohn, Professor & Department Chair, Engineering

Dan Medelsohn

Phone
614-823-2943

Email
mendelsohn1@otterbein.edu

Office
The Point 109

Dr. Mendelsohn grew up in the Cleveland area and attended Boston University and did his graduate work at Northwestern University. After a stint as a research scientist for Halliburton Services he was a professor in the Departments of Engineering Mechanics and Mechanical and Aerospace Engineering at The Ohio State University from 1982 until his retirement from OSU in 2017. His research interests are in wave propagation, vibrations and fracture mechanics of solids, and he also served as Undergraduate Studies Chair and then Associate Chair of Mechanical and Aerospace Engineering from 2005 to 2017. Since then he has been a STEM consultant for K-12 education, and an adjunct professor of mathematics at Columbus State Community College. He joined the faculty of the Department of Engineering at Otterbein University in the summer of 2018. He is an avid amateur guitarist and vocalist and lover and collector of music of all kinds.

Education

  • Ph.D, Theoretical and Applied Mechanics, Northwestern University, 1979
  • M.S., Theoretical and Applied Mechanics, Northwestern University, 1976
  • B.A., Mathematics, Boston University, 1973

Research, Creative, & Professional Work

Research Interests
  • Wave propagation, vibrations and fracture mechanics of structures
  • Effects of fracture surface roughness on crack propagation
  • Non-linear effects of defects on vibration of plates and beams
Teaching Interests
  • Engineering Statics
  • Engineering Dynamics
  • Mechanics of Materials
  • Automation
  • System Dynamics
  • Thermodynamics
  • Vibrations
  • Wave Propagation
  • Fracture Mechanics

Publications

  • L.M. Keer, D.A. Mendelsohn, and J.D. Achenbach, "Crack at the Apex of a Loaded Notch," International Journal of Solids and Structures, Vol. 13, 615-623, 1977.
  • J.D. Achenbach, A.K. Gautesen, and D.A. Mendelsohn, "Ray Analysis of Surface Wave Interaction with an Edge Crack," IEEE Transactions on Sonics and Ultrasonics, Vol. SU-27, 124-129, 1980.
  • J.D. Achenbach, L.M. Keer, and D.A. Mendelsohn, "Elastodynamic Analysis of an Edge Crack," Trans. ASME Journal of Applied Mechanics, Vol. 47, 551-556, 1980.
  • D.A. Mendelsohn, J.D. Achenbach, and L.M. Keer, "Scattering of Elastic Waves by a Surface-Breaking Crack," Wave Motion, Vol. 2, 277-292, 1980.
  • D.A. Mendelsohn, "A Review of Hydraulic Fracture Modeling, Part 1: General Concepts, 2D Models, Motivation for 3D Modeling," Trans. ASME, Journal of Energy Resources Technology, Vol. 106, 369-376, 1984.
  • D.A. Mendelsohn, "A Review of Hydraulic Fracture Modeling, Part 2: Vertical Growth and 3D Modeling." Trans. ASME, Journal of Energy Resources Technology, Vol. 106, 543-553, 1984.
  • A.K. Nagar, L.S. Fu, and D.A. Mendelsohn, "On Quadruple Integral Equations Related to a Certain Crack Problem," Journal of Elasticity, Vol. 16, 163-177, 1986.
  • D.A. Mendelsohn and K.H. Whang, "Localized Asymmetric Crack Closure with Stick-Slip in the Contact," Engineering Fracture Mechanics, Vol. 29, 365-384, 1988.
  • D. A. Mendelsohn and K. H. Whang, "Partial Release and Re-Locking of a Frictionally locked Crack due to Moving Tensile Loads," Trans. ASME, Journal of Applied Mechanics, Vol. 55, 383-388, 1988.
  • T. S. Gross and D. A. Mendelsohn, "An Analysis of Frictional Effects on Cylindrical Mode III Fatigue Crack Propagation Specimens," Fatigue and Fracture of Engineering Materials and Structures, Vol. 11, 167-178, 1988.
  • T. S. Gross and D. A. Mendelsohn, "On the Effect of Crack Face Contact and Friction due to Fracture Surface Roughness in Edge-Cracks Subjected to External Shear," Engineering Fracture Mechanics, Vol. 31, 405-420, 1988.
  • D. A. Mendelsohn and J.-M. Doong, "Transient Dynamic Elastic Frictional Contact: A General 2D Boundary Element Formulation with Examples of SH Motion," Wave Motion, Vol. 11, 1-21, 1989.
  • T. S. Gross and D. A. Mendelsohn, "Mode I Stress Intensity Factors Induced by Fracture Surface Roughness Under Pure Mode III Loading, Application to the Effect of Loading Modes on Stress Corrosion Crack Growth," Metallurgical and Materials Transactions, Vol. 20A, 1989-1999, 1989.
  • C. Pecorari, D. A. Mendelsohn, G. Blaho and L. Adler, "Investigation of Ultrasonic Wave Scattering by a Randomly Rough Solid-Solid Interface," Journal of Nondestructive Evaluation, Vol. 11, 211-220, 1992.
  • D. A. Mendelsohn, T. S. Gross and Y. Zhang, "Fracture Surface Interference in Shear, Part I: A Model Based on Experimental Surface Characterizations,” Acta Metallurgica et Materialia, Vol 43, 893-900, 1995.
  • C. Pecorari, D. A. Mendelsohn, and L. Adler, "Ultrasonic Wave Scattering from Rough, Imperfect Interfaces, Part I: Stochastic Interface Models" Journal of Nondestructive Evaluation, Vol. 14, 109-117, 1995.
  • C. Pecorari, D. A. Mendelsohn, and L. Adler, "Ultrasonic Wave Scattering from Rough, Imperfect Interfaces, Part II: Incoherent and Coherent Scattered Fields," Journal of Nondestructive Evaluation, Vol. 14, 119-128, 1995.
  • S. Muju, P. M. Anderson, and D. A. Mendelsohn, "Shielding due to Aligned Microcracks in Anisotropic Media," Mechanics of Materials, Vol. 22, 203-217, 1996.
  • R. U. Goulet, T. S. Gross, and D. A. Mendelsohn, "Evidence of Fracture Surface Interference for Cracks Loaded in Shear Detected by Phase Shifted Speckle Interferometry," Metallurgical and Materials Transactions, Vol. 27A, 3853-3860, 1996.
  • D. A. Mendelsohn, T. S. Gross, R. U. Goulet and M. Zhou, "Experimental-Computational Estimation of Rough Fracture Surface Contact Stresses," Materials Science and Engineering A, Vol. 249, 1-6, 1998.
  • S. Muju, P. M. Anderson, and D. A. Mendelsohn, "Microcrack Toughening in Two-Phase Multilayered Media," Acta Materiala, Vol. 46, 5385-5397, 1998.
  • L. B. Shulkin, D. A. Mendelsohn, G. L. Kinzel, and T. Altan,"A Useful Solution for Estimating Contact Pressure Between a Plate and a Foundation," Journal of Manufacturing Science and Engineering, Vol 122, 781-789, 2000.
  • D. A. Mendelsohn, T. S. Gross, L.-J. Young and F. Chen, "Geometry and Load Fixture Effects in the Four-Point-Bend Mixed-Mode Fracture Specimen," Engineering Fracture Mechanics, Vol. 68, 587-604, 2001.
  • D. A. Mendelsohn, "Free Vibration of an Edge-Cracked Beam with a Dugdale-Barenblatt Cohesive Zone," Journal of Sound and Vibration, Vol. 292, 59-81, 2006.
  • Mokashi, P. S. and D. A. Mendelsohn, “Nonlinear Vibration of an Edge-Cracked Beam with a Cohesive Zone I: Nonlinear Bending Load-Displacement Relations for a Linear Softening Cohesive Law”, Journal of the Mechanics of Materials and Structures, Vol 3, 1573-1588, 2008.
  • D. A. Mendelsohn, S. Vedachalam, C. Pecorari and P. S. Mokashi, “Nonlinear Vibration of an Edge-Cracked Beam with a Cohesive Zone II: Perturbation Analysis of Euler-Bernoulil Beam Vibration using a Nonlinear Spring for Damage Representation”, Journal of the Mechanics of Materials and Structures, Vol 3, 1589-1604, 2008.
  • D. A. Mendelsohn and P. S. Mokashi, "Frequency Response of Pre-Stressed Structures with Nonlinear Cohesive Interfaces," Mechanics of Materials, Vol 41, 1152-1161, 2009.
  • K. Vandlen, W. S. Marras and D. A. Mendelsohn, “A Nonlinear Contact Algorithm Predicting Facet Joint Contribution in the Lumbar Spine of a Specific Person,” in press, Theoretical Issues in Ergonomics Science, Vol 13, 2012
  • C. Pecorari and D. A. Mendelsohn, “Nonlinear Forced Vibrations of a Hysteretic Bar: An Analytical Solution”, Wave Motion. Vol 48, 345-357, 2011.
  • D. A. Mendelsohn and C. Pecorari, “Nonlinear free vibrations of a beam with hysteretic damage”, Journal of Sound and Vibration, Vol 332, 378-390 (2013) (10.1016/j.jsv.2012.08.011 Published: JAN 21 2013)
  • C. Pecorari and D. A. Mendelsohn, “Nonlinear Forced Vibrations of a Hysteretic Bar: Revisited”, Wave Motion. Vol 50, 127-134, 2013.
  • C. Pecorari and D. A. Mendelsohn, “Forced Nonlinear Vibrations of a One-Dimensional Bar with Arbitrary Distributions of Hysteretic Damage”, Journal of Nondestructive Evaluation, Vol 33, 239-251, 2014.
  • H. Tari, G.L. Kinzel and D. A. Mendelsohn, “Cartesian and Piecewise Parametric Solutions of Tip Point Loaded Euler-Bernouli Cantilever Beams’, International Journal of Mechanical Sciences, http://dx.doi.org/10.1016/j.ijmecsci.2015.06.024, 2015.

Affiliations & Awards

Awards
  • Mechanical Engineering Advisory Board Excellence in Teaching Award, Ohio State University, 2012
Affiliations
  • Member, American Society of Mechanical Engineering (ASME)
  • Member, American Society for Engineering Education (ASEE)