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Stiffness relations for piezoelectric indentation of flat and non-flat punches of arbitrary planform: Applications to probing nanoelectromechanical properties of materials

https://doi.org/10.1016/j.jmps.2009.01.002
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-94-017-0169-3openalex-snapshot
Handbook of Elasticity Solutions
inferredcites →https://doi.org/10.1007/bf00386217openalex-snapshot
A four-part boundary value problem in elasticity ? indentation by a discontinuously concave punch
inferredcites →https://doi.org/10.1007/s00419-002-0223-zopenalex-snapshot
The principle of correspondence between elastic and piezoelectric problems
inferredcites →https://doi.org/10.1016/0378-4754(92)90119-2openalex-snapshot
Mixed boundary value problems of potential theory and their applications in engineering
inferredcites →https://doi.org/10.1016/c2010-0-64839-5openalex-snapshot
Table of Integrals, Series, and Products
inferredcites →https://doi.org/10.1016/c2013-0-10754-4openalex-snapshot
Table of Integrals, Series, and Products
inferredcites →https://doi.org/10.1016/j.ijengsci.2008.07.010openalex-snapshot
Piezoelectric indentation of a flat circular punch accompanied by frictional sliding and applications to scanning probe microscopy
inferredcites →https://doi.org/10.1016/s0022-5096(03)00066-8openalex-snapshot
The indentation modulus of elastically anisotropic materials for indenters of arbitrary shape
inferredcites →https://doi.org/10.1016/s1359-6454(99)00076-2openalex-snapshot
Theory of indentation of piezoelectric materials
inferredcites →https://doi.org/10.1017/s0305004100022325openalex-snapshot
The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch
inferredcites →https://doi.org/10.1017/s0305004100024518openalex-snapshot
Boussinesq's problem for a rigid cone
inferredcites →https://doi.org/10.1063/1.1787594openalex-snapshot
Ferroelectric hysteresis loops of (Pb,Ca)TiO3 thin films under spherical indentation
inferredcites →https://doi.org/10.1080/13642810008208596openalex-snapshot
Point force and point electric charge in infinite and semi-infinite transversely isotropic piezoelectric solids
inferredcites →https://doi.org/10.1080/14786430412331324680openalex-snapshot
Nanoelectromechanics of piezoelectric indentation and applications to scanning probe microscopies of ferroelectric materials
inferredcites →https://doi.org/10.1093/qmath/10.1.161openalex-snapshot
ON THE GRAM DETERMINANT
inferredcites →https://doi.org/10.1093/qmath/os-10.1.161openalex-snapshot
BOUSSINESQ'S PROBLEM FOR A RIGID CONE
inferredcites →https://doi.org/10.1103/physrevb.70.184101openalex-snapshot
Nanoelectromechanics of piezoresponse force microscopy
inferredcites →https://doi.org/10.1103/physrevb.76.064115openalex-snapshot
Indentation of spherical and conical punches into piezoelectric half-space with frictional sliding: Applications to scanning probe microscopy
inferredcites →https://doi.org/10.1103/physrevb.76.212102openalex-snapshot
Relationship between direct and converse piezoelectric effect in a nanoscale electromechanical contact
inferredcites →https://doi.org/10.1109/tuffc.2006.169openalex-snapshot
A decade of piezoresponse force microscopy: progress, challenges, and opportunities
inferredcites →https://doi.org/10.1115/1.1304913openalex-snapshot
Strength Analysis of Spherical Indentation of Piezoelectric Materials
inferredcites →https://doi.org/10.1115/1.2899476openalex-snapshot
The Elastic Field for Conical Indentation Including Sliding Friction for Transverse Isotropy
inferredcites →https://doi.org/10.1115/1.2900881openalex-snapshot
Applications of Potential Theory in Mechanics: A Selection of New Results
inferredcites →https://doi.org/10.1115/1.2920924openalex-snapshot
The Elastic Field for Spherical Hertzian Contact Including Sliding Friction for Transverse Isotropy
inferredcites →https://doi.org/10.1146/annurev.matsci.37.052506.084323openalex-snapshot
Nanoscale Electromechanics of Ferroelectric and Biological Systems: A New Dimension in Scanning Probe Microscopy
inferredcites →https://doi.org/10.1243/03093247v094230openalex-snapshot
Determining the contact area in elastic-indentation problems
inferredcites →https://doi.org/10.1557/jmr.2006.0081openalex-snapshot
Piezoelectric nanoindentation
inferredcites →https://doi.org/10.2307/2153347openalex-snapshot
Table of Integrals, Series, and Products.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1002/adma.202201345openalex-snapshot
Hypothesis Learning in Automated Experiment: Application to Combinatorial Materials Libraries
inferred← citeshttps://doi.org/10.1007/s00033-017-0894-5openalex-snapshot
Interaction between a punch and an arbitrary crack or inclusion in a transversely isotropic half-space
inferred← citeshttps://doi.org/10.1007/s00161-026-01452-wopenalex-snapshot
Flat indentation on a transversely isotropic functionally gradient thin film over a homogeneous substrate with an imperfect interface
inferred← citeshttps://doi.org/10.1007/s00161-026-01479-zopenalex-snapshot
Generalization of R. Hill’s Solution of the Lame Problem for a Hollow Sphere to the Case of Large Elastic and Plastic Deformations
inferred← citeshttps://doi.org/10.1007/s00161-026-01510-3openalex-snapshot
A tribute to Professor Mark Kachanov
inferred← citeshttps://doi.org/10.1007/s00707-016-1700-8openalex-snapshot
Frictionless contact of a rigid punch indenting an elastic layer having piezoelectric properties
inferred← citeshttps://doi.org/10.1007/s10409-015-0509-3openalex-snapshot
Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling
inferred← citeshttps://doi.org/10.1007/s10665-019-09996-4openalex-snapshot
Exact, approximate and asymptotic solutions of the Klein–Gordon integral equation
inferred← citeshttps://doi.org/10.1007/s11012-019-01021-3openalex-snapshot
Indentation on a one-dimensional hexagonal quasi-crystal half-space by an elliptic indenter
inferred← citeshttps://doi.org/10.1016/j.apm.2014.04.039openalex-snapshot
Electro-mechanical sliding frictional contact of a piezoelectric half-plane under a rigid conducting punch
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114125openalex-snapshot
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations
inferred← citeshttps://doi.org/10.1016/j.enganabound.2022.11.019openalex-snapshot
Multibody contact of two-dimensional anisotropic elastic/piezoelectric/magneto-electro-elastic solids
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2018.07.006openalex-snapshot
Transient thermo-electro-elastic contact analysis of a sliding punch acting on a functionally graded piezoelectric strip under non-Fourier heat conduction
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2014.04.013openalex-snapshot
Two electrically-conducting stamps on the surface of piezoelectric materials
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2016.03.005openalex-snapshot
Action of a smooth flat charged punch on the piezoelectric half-space possessing symmetry of class 6
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2016.12.002openalex-snapshot
Indentation of a hard transversely isotropic functionally graded coating by a conical indenter
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2017.11.013openalex-snapshot
Indentation on a transversely isotropic half-space of multiferroic composite medium with a circular contact region
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2018.10.009openalex-snapshot
Theory of adhesive contact on multi-ferroic composite materials: Spherical indenter
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2025.104250openalex-snapshot
Indentation of layered soft electroactive media
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2011.05.023openalex-snapshot
Indentation responses of piezoelectric films ideally bonded to an elastic substrate
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2012.08.017openalex-snapshot
Contact problem for magneto-electro-elastic half-plane materials indented by a moving punch. Part I: Closed-form solutions
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2020.04.034openalex-snapshot
The frictional contact problem of a rigid punch sliding over thermoelectric materials
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2020.09.035openalex-snapshot
Exact axisymmetric adhesive contact analysis for a pre-deformed soft electroactive half-space
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2021.111217openalex-snapshot
Theory of adhesive contact on multi-ferroic composite materials: Conical indenter
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2023.112565openalex-snapshot
A semi-analytical approach for two-dimensional frictional contact of anisotropic magneto-electro-elastic solids
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2024.112721openalex-snapshot
Modulating adhesion strength in multi-ferroic composite materials: Insights from adhesive contact with arbitrary profile indenters
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2024.113193openalex-snapshot
Effect of phason on adhesion behavior of one-dimensional hexagonal quasicrystal
inferred← citeshttps://doi.org/10.1016/j.jmps.2010.07.012openalex-snapshot
Theory of indentation on multiferroic composite materials
inferred← citeshttps://doi.org/10.1016/j.jmps.2014.11.002openalex-snapshot
3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter
inferred← citeshttps://doi.org/10.1016/j.mechmat.2017.12.008openalex-snapshot
Indentation of a flat-ended cylinder over a transversely isotropic and layered half-space with imperfect interfaces
inferred← citeshttps://doi.org/10.1016/j.mechrescom.2023.104186openalex-snapshot
Self-consistent approximations for the tangential-displacement correction to the incremental indentation stiffness
inferred← citeshttps://doi.org/10.1016/j.mtcomm.2021.102775openalex-snapshot
Finite element analysis of indentation contact of double piezoelectric spheres
inferred← citeshttps://doi.org/10.1063/1.4802097openalex-snapshot
Indentation of a punch with chemical or heat distribution at its base into transversely isotropic half-space: Application to local thermal and electrochemical probes
inferred← citeshttps://doi.org/10.1063/1.4866684openalex-snapshot
Indentation of a flat circular punch with uniform heat flux at its base into transversely isotropic magneto-electro-thermo-elastic half space
inferred← citeshttps://doi.org/10.1063/1.4979015openalex-snapshot
Ferroelectric or non-ferroelectric: Why so many materials exhibit “ferroelectricity” on the nanoscale
inferred← citeshttps://doi.org/10.1080/15376494.2022.2084802openalex-snapshot
A unified full field solution for indentation of an anisotropic piezoelectric half-plane by multiple rigid punches
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Low Temperature Nanoindentation: Development and Applications
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