{"id":5,"date":"2016-08-10T13:11:56","date_gmt":"2016-08-10T17:11:56","guid":{"rendered":"https:\/\/1409.mae.ncsu.edu\/eischen\/home\/"},"modified":"2025-12-14T12:11:17","modified_gmt":"2025-12-14T17:11:17","slug":"home","status":"publish","type":"page","link":"https:\/\/mae.ncsu.edu\/eischen\/","title":{"rendered":"Jeffrey W Eischen"},"content":{"rendered":"<h3>Contact Information<\/h3>\n<p>Jeffrey W. Eischen, PhD, PE<br \/>\nProfessor Emeritus<br \/>\nDepartment of Mechanical &amp; Aerospace Engineering<br \/>\n3272 Engineering Building 3<br \/>\nNC State University<br \/>\nRaleigh, NC 27695<\/p>\n<p>919 593-4757 (cell)<br \/>\n<a href=\"mailto:eischen@ncsu.edu\">eischen@ncsu.edu<\/a><\/p>\n<p>LinkedIn: <a href=\"https:\/\/www.linkedin.com\/in\/jeffrey-eischen-8ba6551b\/\">https:\/\/www.linkedin.com\/in\/jeffrey-eischen-8ba6551b\/\u00a0<\/a><\/p>\n<h3>Education<\/h3>\n<p>PhD, Mechanical Engineering, Stanford University, 1986<br \/>\nMS, Mechanical Engineering, Stanford University, 1981<br \/>\nBS, Civil Engineering, UCLA, 1978<\/p>\n<h3>Research Interests<\/h3>\n<p>Structural mechanics, fracture mechanics, finite element analysis, mechanical design engineering, basic physics- gravitation<\/p>\n<h3>Teaching<\/h3>\n<p>MAE 200- Introduction to Mechanical Engineering Design<br \/>\nMAE 316- Strength of Mechanical Components<br \/>\nMAE 413- Design of Mechanical Systems<br \/>\nMAE 495- Mechanical Design Engineering (China Study Abroad course)<br \/>\nMAE 543- Fracture Mechanics<\/p>\n<h3>Consulting<\/h3>\n<p>Machine design, mechanical design, fatigue and failure analysis, fracture mechanics, structural mechanics, solid mechanics, patent analysis.<\/p>\n<h3>Selected Publications<\/h3>\n<p>&#8220;Wave Propagation in Nonhomogeneous Layered Composites,&#8221; with Z. P. Duan and G. Herrmann, ASME Journal of Applied Mechanics, Vol. 53, (1986). <a href=\"https:\/\/mae.ncsu.edu\/eischen\/JAM3-86.pdf\">(<\/a><a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JAM3-86.pdf\">.pdf download<\/a><a href=\"https:\/\/mae.ncsu.edu\/eischen\/JAM3-86.pdf\">)<\/a><\/p>\n<p>&#8220;Computation of Stress Intensity Factors for Plate Bending via a Path Independent Integral,&#8221; with H. Sosa, Engineering Fracture Mechanics, Vol. 25, No. 4, (1986). <a href=\"https:\/\/mae.ncsu.edu\/eischen\/EFM-86.pdf\">(<\/a><a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/EFM-86.pdf\">.pdf download<\/a><a href=\"https:\/\/mae.ncsu.edu\/eischen\/EFM-86.pdf\">)<\/a><\/p>\n<p>&#8220;An Improved Method for Computing the J2 Integral&#8221;, Engineering Fracture Mechanics, Vol. 26, No. 5, (1987). <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/EFM-87.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Energy Release Rates and Related Balance Laws in Linear Elastic Defect Mechanics,&#8221; with G. Herrmann, ASME Journal of Applied Mechanics, Vol. 54, No. 2, (1987).<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JAM6-87.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Fracture of Nonhomogeneous Materials,&#8221; International Journal of Fracture, Vol. 34, No. 3, (1987).<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/IJF-87.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Thermal Stress Analysis of a Bi-Material Strip Subject to an Axial Temperature Gradient,&#8221; with J. S. Everett, ASME Journal of Electronic Packaging, Vol. 111, No. 4, (1989).<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JEP12-89.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Geometric Nonlinearity in a Bimaterial Strip,&#8221;, Proceedings of the International Congress of Applied Mechanics, Beijing, P.R.C., Aug. 1989. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/GEOMETRIC-NONLINEARITY-IN-A-BIMATERIAL-STRIP.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Realistic Modeling of Edge-Effect Stresses in Bi-Material Elements,&#8221; with C. Chung and J. Kim, ASME Journal of Electronic Packaging, Vol. 112, No. 1, (1990). \u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/TRJ9-90.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Indirect Measurement of the Moment-Curvature Relationship for Fabrics,&#8221; with T. G. Clapp, T. Ghosh, H. Peng, Textile Research Journal, Vol. 60, No. 9, 1990.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/TRJ9-90.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Computer Simulation of the Large Motions of Fabric Structures,&#8221; with Y. G. Kim, T. G. Clapp, and T. Ghosh, Proceedings of the XV Southeastern Conference on Theoretical and Applied Mechanics, Atlanta, GA., March, 1990.<\/p>\n<p>&#8220;Multi-Rigid-Body Kinematic Analysis with Elastic Finite Elements,&#8221; with H. Sun and M. Marler, proceedings of the 1990 ASME International Computers in Engineering Conference, ASME Book. No. G051GB, Vol. II, August 1990.\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/CIEConference-91.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;The Free Edge Stress Singularity at an Interface Between Bilinear Materials,&#8221; with C. Chung, International Journal of Solids and Structures, Vol. 28, No. 1, 1991.\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/IJSS-91.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Effect of Geometric Nonlinearities on Crack Tip Deformations,&#8221; with with A. Hisham, proceedings of the Pan American Congress of Applied Mechanics, Valparaiso, Chile, Jan. 2-6, 1991.<br \/>\n<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/PACAMII1991.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Free Edge Stress Singularities in Electronic Bimaterials- Nonlinear Material Response,&#8221; with C. H. Wetter, Proceedings of the Symposium on Structural Analysis in Microelectronics, 1991 ASME Winter Annual Meeting, Atlanta, GA, Dec. 1991.<\/p>\n<p>&#8220;Slewing Motion Control of a Very Flexible Elastic Beam,&#8221; with L. M. Silverberg and H. L. Wang, ASME Journal of Applied Mechanics, Vol. 59, 1992.\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JAM9-92.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Fabric Mechanics Analysis Using Large Deformation Orthotropic Shell Theory,&#8221; with J. H. Kim, Proceedings of the 3rd Academic Apparel Research Conference, Atlanta, GA, Feb. 1992.<\/p>\n<p>&#8220;On the Serious Problem of Helicopter and Aircraft, Wire and Tree Strike Accidents,&#8221; with B. Ross, Proceedings of the 4th International Conference on Structural Failure, Product Liability and Technical Insurance, Vienna, Austria, July 6-9, 1992.<\/p>\n<p>&#8220;Determining Elastic Behavior of Composites by the Boundary Element Method,&#8221; with S. Torquato, Journal of Applied Physics, Vol. 74, 1993.\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JAP7-93.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Optimization of Fabric Manipulation During Pick\/Place Operations,&#8221; with Y. G. Kim, Proceedings of the 4th Annual Academic Apparel Research Conference, Raleigh, NC, Feb. 8-9, 1993.<\/p>\n<p>&#8220;Simulation of Fabric Draping and Manipulation with Arbitrary Contact Surfaces and Adaptive Meshing,&#8221; with T. McDevitt, Proceedings of the 4th Annual Academic Apparel Research Conference, Raleigh, NC, Feb. 8-9, 1993.<\/p>\n<p>&#8220;Elastic Plastic Analysis of Bimaterial Beams with Strain Hardening-Multiple Yield Sites,&#8221; with S. Reagan, Proceedings of the 1993 ASME International Electronic Packaging Conference, Binghampton, NY, Sept. 29- Oct. 2, 1993.<\/p>\n<p>&#8220;Elastic Plastic Analysis of Bimaterial Beams with Strain Hardening,&#8221; with S. Reagan, Proceedings of the 1993 ASME Design Technical Conference, ASME Volume DE-GG, Albuquerque, NM, Sept. 19-22, 1993.<\/p>\n<p>&#8220;Optimization of Fabric Manipulation During Pick\/Place Operations,&#8221; with Y. G. Kim, International Journal of Clothing Science and Technology, Vol. 4, No. 5, 1993.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/IntlJournalClothingScience1993.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Computer Simulation of Fabric Deformation for the Design of Equipment,&#8221; with S. D. McWaters and T. G. Clapp, International Journal of Clothing Science and Technology, Vol. 6, No. 5, 1994.\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/IntlJournalClothingScience1994.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Thermal Loading of Bimaterial Beams- Elastic Plastic Response,&#8221; with S. W. Reagan, Proceedings of the XVIII Southeastern Conference on Theoretical and Applied Mechanics, Tuscaloosa, AL, April 1996.<\/p>\n<p>&#8220;Finite Element Modeling and Control of Flexible Fabric Parts,&#8221; with S. Deng and T. G. Clapp, IEEE Computer Graphics and Applicationa- Modeling and Visualization for Textiles and Apparel- Special Issue, Volume 16, No. 5, Sept. 1996 (invited).<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/IEEE9-96.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Optimum Manipulation Strategies for Limp Fabric Materials,&#8221; with W. Clifton, Proceedings of the Fifth Pan American Congress of Applied Mechanics Conference, San Juan, Puerto Rico, Jan. 1997.<\/p>\n<p>&#8220;Residual Stress Analysis of Bimaterial Strips Under Multiple Thermal Loading,&#8221; with J. Tierney, ASME Journal of Electronic Packaging, Vol. 119, 1997. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JEP12-97.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;A Study of Solutions for the Anisotropic Plate Subjected to a Concen- trated Force,&#8221; with B. LaMattina and E. Klang, ASME Journal of Applied Mechanics, Vol. 65, No. 1, 1998. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JAM3-98.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;On Control and Optimization of Elastic Multilink Mechanisms,&#8221; with H. Wang and L. Silverberg, Computers and Structures, Vol. 67, No. 6, 1997. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2022\/05\/CS-98JournalPDF.pdf\">(.pdf download)<\/a><\/p>\n<p>\u201cMultidiscipline Analysis of a Fatal LPG Tank Rupture,\u201d with\u00a0Ross, B., Lange, C,\u00a0Proceedings of the 53rd Meeting of the Society for Machinery Failure Prevention Technology, Virginia Beach, VA, April 19-22. (1999) (invited)\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/MFPT53-Proceedings-99.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Bending Deflections Due to Scribe-Induced Residual Stress,&#8221;, with B. Austin, B. Love, T. Dow, and R. Scattergood, Proceedings of the American Society for Precision Engineering Conference, Scottsdale, AZ, Fall 2000.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/ASPE10-00.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Continuum Versus Particle Representations,&#8221; chapter in Cloth Modeling and Animation, with R. Bigliani, A. K. Peters, 2000.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/AKPeters-Chap4.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Collision Detection in Cloth Modeling,&#8221; with R. Bigliani, chapter in Cloth Modeling and Animation, A. K. Peters, 2000. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/AKPeters-Chap8.pdf\">(.pdf download)<\/a><\/p>\n<p>&#8220;Optimal Pick-up Locations for Transport and Handling of Limp Materials Part I : One Dimensional Strips,&#8221; with S. Lankalapalli, Vol. 73, Issue 9, Textile Research Journal, 2003. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/TRJPart12003.pdf\">(.pdf download)<\/a><\/p>\n<p>Lankalapalli, S., and Eischen, J. W., &#8220;Optimal Pick-up Locations for Transport and Handling of Limp Materials Part II : Two Dimensional Parts,&#8221; with S. Lankalapalli, Vol. 73, Issue 10,Textile Research Journal, 2003. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/TRJPart22003.pdf\">(.pdf download)<\/a><\/p>\n<p>Palmer, J., Dessent, B., Mulling, J.F.,\u00a0 Usher, T., Grant, E., Eischen, J. W., Kingon, A., Franzon, P., \u201cThe Design and Characterization of a Novel Piezoelectric Transducer-Based Linear Motor,\u00a0 IEEE\/ASME Transactions on Mechatronics,\u00a0 June 2004. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/IEEE9-2004.pdf\">(.pdf download)<\/a><\/p>\n<p>Special issue of the Journal of the Mechanics of Materials and Structures, a collection of invited papers from the Ninth Pan American Congress of Applied Mechanics, editors J. W. Eischen and G. Monsivais, Vol. 2, No, 8, 2007 <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/jomms-v2-n8-p.pdf\">(.pdf download)<\/a>\u00a0\u00a0<a href=\"http:\/\/pjm.math.berkeley.edu\/jomms\/2007\/2-8\/index.xhtml\">http:\/\/pjm.math.berkeley.edu\/jomms\/2007\/2-8\/index.xhtml<\/a> .<\/p>\n<p>Jernigan, S. R., Buckner, G. D., Eischen, J. W., Cormier, D. R., \u201cFinite Element Modeling of the Left Atrium to Facilitate the Design of an Endoscopic Atrial Retractor,\u201d ASME Journal of Biomechanical Engineering, Vol. 129, Issue 6, 2007.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JournalBiomechEngr2007.pdf\">(.pdf download)<\/a><\/p>\n<p>Pandurangan, P., Eischen, J. W., Kenkari, H., and May-Plumlee, T., \u201cEnhancing accuracy of drape simulation. Part I: Investigation of drape variability via 3D scanning&#8221;, Journal of the Textile Institute, February 4, 2008.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JTIPart12008.pdf\">(.pdf download)<\/a><\/p>\n<p>Pandurangan, P., Eischen, J. W., Kenkari, H., and May-Plumlee, T., \u201cEnhancing accuracy of drape simulation. &#8211; Part II: Optimized drape simulation using industry-specific software\u201d, Journal of the Textile Institute, February 4, 2008.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/JTIPart22008.pdf\">(.pdf download)<\/a><\/p>\n<p>Stamps, M., Eischen, J.W., and Huang, S., &#8220;Particle- and crack-size dependency of lithium-ion battery materials LiFePO4, <a href=\"http:\/\/www.aimspress.com\/journal\/Materials\">AIMS Materials Science<\/a>,\u00a0<a href=\"http:\/\/www.aimspress.com\/journal\/Materials\/2016\/1.html\">2016,\u00a03(1):<\/a>\u00a0190-203.<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/AIMSMaterialsScienceHuangStampsEischen2016.pdf\">(.pdf download)<\/a> <a href=\"http:\/\/www.aimspress.com\/article\/10.3934\/matersci.2016.1.190\">http:\/\/www.aimspress.com\/article\/10.3934\/matersci.2016.1.190<\/a><\/p>\n<p>Rao, V., and Eischen, J. W., &#8220;Failure analysis of mixed mode crack growth in heavy duty truck frame rails,&#8221; Case Studies in Engineering Failure Analysis, April 2016, Vol 5-6, pg 66-74 <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2016\/08\/CaseStudiesEngrFailureAnalysis.pdf\">(.pdf download)<\/a><\/p>\n<p>Vinay Rao and Jeffrey Eischen, \u201cFailure analysis of fretting fracture in frame rails of heavy duty trucks \u2013 Case study,\u201d Engineering Failure Analysis, July 2020, Vol. 113, pp. 1-13 <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2020\/12\/Failure-analysis-of-fretting-fracture-in-frame-rails-of-heavy-duty-trucks-\u2013-Case-study-_-Elsevier-Enhanced-Reader.pdf\">(pdf download)<\/a>.<\/p>\n<p>Larry Silverberg and Jeffrey Eischen, \u201cOn a new field theory formulation and a modified Newtonian gravitational law that predict the same precession of Mercury and the same bending of light as general relativity,\u201d <a href=\"https:\/\/physicsessays.org\/browse-the-journal.html\">Physics Essays<\/a>, Vol. 33, No 4, 2020 <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2020\/12\/PhysicsEssaysSilverbergEischen2020.pdf\">(pdf download)<\/a> .<\/p>\n<p>Larry Silverberg and Jeffrey Eischen, \u201cTheory of Spacetime Impetus,\u201d <a href=\"https:\/\/physicsessays.org\/browse-the-journal.html\">Physics Essays<\/a>, Vol. 34, No 4, 2021 <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2022\/07\/PhysicsEssaysSilverbergEischen2021.pdf\">(pdf download)<\/a>.<\/p>\n<p>Larry Silverberg and Jeffrey Eischen, \u201cTrajectory of a Spacecraft When It Passes by a Gravitational Body During Interstellar Travel,\u201d AIAA Journal of Spacecraft and Rockets, Vol. 60, No. 6 (2023), pp. 1854-1870 <a href=\"https:\/\/doi.org\/10.2514\/1.A35684\">doi: doi\/abs\/10.2514\/1.A35684<\/a> \u00a0\u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2023\/10\/LMS-JWE-JournalSpacecraftRocketsSept2023-preprint.pdf\">(pdf download)<\/a>.<\/p>\n<p>How Schwarzschild Could Have Discovered and Fixed the Problem with his Metric, by Lane R. Miller, Larry M. Silverberg, Jeffrey W. Eischen and Samuel R. Miller, Physics Essays, 37, 1, pp. 74-79, 2024, <a href=\"http:\/\/dx.doi.org\/10.4006\/0836-1398-37.1.74\">http:\/\/dx.doi.org\/10.4006\/0836-1398-37.1.74,<\/a> <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2024\/01\/SchwarzschildMetric-Miller-et-al-Physics-Essays-2024.pdf\">(pdf download)<\/a><\/p>\n<p>Trajectories, time, and velocities with the relativistic universal law of gravitation, by Jeffrey W. Eischen and Larry M. Silverberg, Research Gate preprint,\u00a0 2024,\u00a0<a href=\"http:\/\/dx.doi.org\/10.13140\/RG.2.2.18749.88803\">http:\/\/dx.doi.org\/10.13140\/RG.2.2.18749.88803<\/a>,<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2025\/07\/Trajectories-time-and-velocities-with-the-relativistic-universal-law-of-gravitationJWELMS-4-23-2024.pdf\">(pdf download)<\/a>.<\/p>\n<p>At the speed of light: toward a quantum-deterministic description,\u00a0 Larry Silverberg, Jeffrey Eischen, and Chip Whaley, Physics Essays, Vol. 37, No. 4, 2024. <a href=\"https:\/\/dx.doi.org\/10.4006\/0836-1398-37.4.229\">https:\/\/dx.doi.org\/10.4006\/0836-1398-37.4.229<\/a><br \/>\n<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2024\/09\/At-the-speed-of-lightLMSJWECW9-20-2024.pdf\">(pdf download)<\/a><\/p>\n<p>Larry Silverberg and Jeffrey Eischen, \u201cProof of the GM-GR parity theorem for the two-body problem ,\u201d Physics Essays, Vol. 38, No 2, pp. 122-127, 2025<br \/>\n<a href=\"http:\/\/dx.doi.org\/10.4006\/0836-1398-38.2.122\">http:\/\/dx.doi.org\/10.4006\/0836-1398-38.2.122<\/a><br \/>\n<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2025\/05\/2025-Proof-of-the-GM-GR-Parity-Theorem.pdf\">(pdf download)<\/a><\/p>\n<p>Larry Silverberg, Jeffrey Eischen, \u201cThe Minkowski metric equation with a metric triangle applied to the twin paradox,\u201d Physics Education, Vol 60, 2025. <a href=\"https:\/\/doi.org\/10.1088\/1361-6552\/adf7fa\">https:\/\/doi.org\/10.1088\/1361-6552\/adf7fa<\/a>\u00a0 \u00a0<a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2025\/08\/Silverberg_2025_Phys._Educ._60_055029.pdf\">(pdf download)<\/a><\/p>\n<p>Larry Silverberg and Jeffrey Eischen, &#8220;The parity hypothesis. Comment on \u201cOn the parity of general mechanics and general relativity, and misconceptions of Einstein\u2019s theory\u201d by Lane R. Miller,&#8221; Physics Essays, Vol. 38, No 4, pp. 393-397, 2025, <a href=\"http:\/\/dx.doi.org\/10.4006\/0836-1398-38.4.393\">http:\/\/dx.doi.org\/10.4006\/0836-1398-38.4.393<\/a>. <a href=\"https:\/\/mae.ncsu.edu\/eischen\/wp-content\/uploads\/sites\/17\/2025\/12\/2025-the-parity-hypothesis.pdf\">(pdf download)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contact Information Jeffrey W. Eischen, PhD, PE Professor Emeritus Department of Mechanical &amp; Aerospace Engineering 3272 Engineering Building 3 NC State University Raleigh, NC 27695&#8230;<\/p>\n","protected":false},"author":17,"featured_media":13,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-5","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/pages\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/users\/17"}],"replies":[{"embeddable":true,"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/comments?post=5"}],"version-history":[{"count":10,"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/pages\/5\/revisions"}],"predecessor-version":[{"id":232,"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/pages\/5\/revisions\/232"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/media\/13"}],"wp:attachment":[{"href":"https:\/\/mae.ncsu.edu\/eischen\/wp-json\/wp\/v2\/media?parent=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}