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A novel approximate method to calculate the force applied on an elastic half space by a rigid sphere

https://doi.org/10.1088/1361-6404/abccfb
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27/27 checkable references clean · checked 2026-07-22

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

5 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 27 checked references that resolve
resolves10.1088/1361-6404/ab4a26
The harmonic motion of a rigid cylinder on an elastic half-space
resolves10.1038/s42254-018-0001-7
Atomic force microscopy-based mechanobiology
resolves10.2174/1876402910666180426114700
The Hertz Model in AFM Nanoindentation Experiments: Applications in Biological Samples and Biomaterials
resolves10.1016/s0091-679x(07)83015-9
Studying the Mechanics of Cellular Processes by Atomic Force Microscopy
resolves10.1557/jmr.2004.19.1.3
Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology
resolves10.1063/1.4915896
Nanomechanical and topographical imaging of living cells by atomic force microscopy with colloidal probes
resolves10.1529/biophysj.106.103192
Mechanical Properties of Collagen Fibrils
resolves10.2174/1876402908666151111234441
The Significance of the Percentage Differences of Young’s Modulus in the AFM Nanoindentation Procedure
resolves10.1016/0020-7225(65)90019-4
The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile
resolves10.1007/978-1-4614-1945-7_3
Contact Mechanics
resolves10.1088/1367-2630/16/10/105002
The effect of neighboring cells on the stiffness of cancerous and non-cancerous human mammary epithelial cells
resolves10.1371/journal.pone.0034305
Simple Display System of Mechanical Properties of Cells and Their Dispersion
resolves10.1557/jmr.1992.0613
On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation
resolves10.1088/2053-1591/ab4f42
Determination of the linear elastic regime in AFM nanoindentation experiments on cells
resolves10.1088/1478-3975/ab252e
A simplified approach for the determination of fitting constants in Oliver–Pharr method regarding biological samples
resolves10.1088/2053-1591/aad2c9
A discussion regarding the approximation of cylindrical and spherical shaped samples as half spaces in AFM nanoindentation experiments
resolves10.3791/50497
Measuring the Mechanical Properties of Living Cells Using Atomic Force Microscopy
resolves10.1088/0957-4484/22/17/175707
Force scanning: a rapid, high-resolution approach for spatial mechanical property mapping
resolves10.1016/j.bpj.2009.09.010
Tuning the Elastic Modulus of Hydrated Collagen Fibrils
resolves10.1039/c6ra09099k
Characterization and sorting of cells based on stiffness contrast in a microfluidic channel
resolves10.3390/plants8060172
Assessment of Primary Cell Wall Nanomechanical Properties in Internal Cells of Non-Fixed Maize Roots
resolves10.1088/2053-1591/aaef10
An alternative approach for the Young’s modulus determination of biological samples regarding AFM indentation experiments
resolves10.1063/1.2367660
Determination of the elastic modulus of native collagen fibrils via radial indentation
resolves10.3791/54706
Quantitative Hardness Measurement by Instrumented AFM-indentation
resolves10.1109/ICBME.2012.6519678
The effects of Hertz's model parameters on analysis of atomic force microscopy (AFM) data for cardiac cell
resolves10.1007/s00249-011-0761-9
Depth-sensing analysis of cytoskeleton organization based on AFM data
resolves10.1039/c8sm01216d
Are elastic moduli of biological cells depth dependent or not? Another explanation using a contact mechanics model with surface tension
The 5 references without a DOI — listed, not checked
no DOI — not checkedejpabccfbbib10
no DOI — not checkedejpabccfbbib11
no DOI — not checkedejpabccfbbib13
no DOI — not checkedSingle cell analysis inside environmental scanning electron microscope (ESEM)-nanomanipulator system
no DOI — not checkedejpabccfbbib33
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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