The present disclosure relates to a novel indentation testing method for measuring the softness of a test object. The present disclosure also relates to a novel indentation testing device using the indentation testing method.
A tensile test used to examine elastic properties such as deformation of a metal material is typical as an objective evaluation method, but there is a need to cut out a test piece from a sample or the like and evaluate the test piece. Due to this high invasiveness, it is difficult to apply the test to a material that cannot be cut out because it is a soft product, or a living body tissue.
On the other hand, an indentation test also typically used in material hardness measurement allows less-invasive measurement of even a soft material or a living tissue because it is not necessary to cut out a test piece. It is known that this indentation test is based on the Hertzian elastic contact theory and can measure a metal material with high reliability (see, for example, NPL 1).
It has been shown by Toshiyuki Sawa that measurement based on the Hertzian elastic contact theory using the indentation test described above can be performed with high reliability in measuring the configuration of a soft material with a large deformation such as living soft tissue. Similar indentation tests have been shown which are used to measure the configuration of a soft material with large deformation such as living soft tissue (see, for example, NPLs 2 to 5). The inventors of the present application has disclosed related technical contents (see, for example, NPLs 6 to 9 and PTL 1). However, it is not possible to realize an indentation testing device that has a simple structure, is small in size, light in weight, and low in cost.
NPL 1: T. Sawa, Practical Material Mechanics, (2007), pp. 258-279, Nikkei Business Publications, Inc. (in Japanese)
NPL 2: O. Takatani, T. Akatsuka, The Clinical Measurement Method of Hardness of Organism, Journal of the Society of Instrument and Control Engineers, Vol. 14, No. 3, (1975), pp. 281-291. (in Japanese)
NPL 3: Y. Arima, T. Yano, Basic Study on Objectification of Palpation, Japanese Journal of Medical Electronics and Biological Engineering, Vol. 36, No. 4, (1998), pp. 321-336. (in Japanese)
NPL 4: N. E. Waters, The Indentation of Thin Rubber Sheets by Spherical indentors, British Journal of Applied Physics, Vol. 16, Issue 4, (1965), pp. 557-563.
NPL 5: T. Ishibashi, S. Shimoda, T Furukawa, I. Nitta and H. Yoshida, The Measuring Method about Young's Modulus of Plastics Using the Indenting Hardness Test by a Spherical Indenter, Transactions of the Japan Society of Mechanical Engineers, Series A, Vol. 53, No. 495, (1987), pp. 2193-2202. (in Japanese)
NPL 6: M. Tani, A. Sakuma, M. Ogasawara, M. Shinomiya, Minimally In vasive Evaluation of Mechanical Behavior of Biological Soft Tissue using Indentation Testing, No. 08-53, (2009), pp. 183-184.
NPL 7: M. Tani, A. Sakuma, Measurement of Thickness and Young's Modulus of Soft Materials by using Spherical Indentation Testing, No. 58, (2009), pp. 365-366.
NPL 8: A. Sakuma, M. Tani, Spherical Indentation Technique for Low-invasive Measurement for Young's Modulus of Human Soft Tissue, No. 09-3, (2009), pp. 784-785.
NPL 9: M. Tani and A. Sakuma, M. Shinomiya, Evaluation of Thickness and Young's Modulus of Soft Materials by using Spherical Indentation Testing, Transactions of the Japan Society of Mechanical Engineers, Series A, Vol. 75, No. 755, (2009), pp. 901-908. (in Japanese)
PTL 1: Japanese Patent No. 4967181
The present disclosure has been made in view of the problems described above, and an object of the present disclosure is to provide a novel indentation testing method that is simple, compact, lightweight, and inexpensive. Another object of the present disclosure is to provide a novel indentation testing device using the indentation testing method.
In a first aspect of the present disclosure, an indentation testing device that pushes an indenter into a sample, includes: an enclosure having a pressing surface to be pressed against the sample; the indenter, which is disposed so as to protrude from the pressing surface by a predetermined amount and is pushed into the sample; a load cell that is disposed between the enclosure and the indenter and that measures at least a force parallel to the indentation direction and acting on the indenter; and a Young's modulus display unit that calculates and displays the Young's modulus of the sample on the basis of the force acting on the indenter when the pressing surface comes into contact with the sample, as measured with the load cell.
In a second aspect of the present disclosure, an indentation testing method in which an indenter is pushed into a sample, includes: until a pressing surface of an enclosure comes into contact with the sample, pushing the indenter, which protrudes from the pressing surface by a predetermined amount, into the sample; measuring at least a force parallel to the indentation direction and acting on the indenter with a load cell disposed between the enclosure and the indenter; and calculating the Young's modulus of the sample on the basis of the force acting on the indenter when the pressing surface comes into contact with the sample, as measured with the load cell.
According to the present disclosure, it is possible to provide a novel indentation testing method and indentation testing device which is compact and lightweight and which can measure the softness of an object with high accuracy regardless of the orientation of the device.
Hereinafter, a description will be given of embodiments for carrying out the present disclosure relating to an indentation testing method and an indentation testing device.
The indentation testing device, which is an indentation testing device for indenting a sample with an indenter, detects a force caused by indentation with a load cell installed in the indenter, and measures the Young's modulus of the sample from the indentation force on the basis of the Hertzian elastic contact theory. The indentation testing method, which is an indentation testing method for indenting a sample with an indenter, includes detecting a force acting on the indenter with a load cell when the indenter installed in the indentation testing device is pushed into the sample, and calculating the Young's modulus of the sample on the basis of the Hertzian elastic contact theory.
In the indentation testing device 20, the Young's modulus display unit 21 calculates the Young's modulus E of the sample 2 on the basis of the diameter ϕ of the indenter, the Poisson ratio v of the sample 2, and the amount δ of protrusion of the indenter 1 from the pressing surface 5 which are previously given as data, by substituting the value of the force F acting on the indenter 1 measured with the load cell 3 into the above Equation 2, and displays it. The indentation testing device 20 may output the Young's modulus E as data to the outside.
In the indentation testing device 20, by relatively moving the pressing surface 5 while pressing it against the sample 2, the Young's modulus E at each point in the sample 2 can be continuously calculated. Since the reaction force received by the indenter 1, the amount δ of indentation of which is predetermined, can be obtained directly from the load cell 3, the amount δ of indentation does not change as in the case of using a spring, and therefore the accuracy of the measurement of the Young's modulus E can be improved.
A plurality of indentation testing devices 20 may be prepared for each Poisson ratio, and the indentation testing devices 20 may be selectively used according to the Poisson ratio of the sample 2. Alternatively, the indentation testing device 20 may have an input unit such as a numeric keypad so that the user can input the Poisson ratio. In that case, it is preferable that the Poisson ratio display unit 22 be configured to display arbitrary numbers as in the Young's modulus display unit 21 instead of the fixed display such as printing.
When the sample 62 whose Young's modulus E is to be measured shown in
Here, B is a coefficient representing the influence of the thinness of the sample on the indentation load F on the indenter 1. The Young's modulus E can be determined in the same way as the measurement shown in
The two indenters 71 and 72 are configured so as to have different amounts δ1 and δ2, respectively, of protrusion from the pressing surface 74 of the enclosure 73. Although the coefficient B is unknown, the coefficient B which is unknown can be determined by determining the two forces F1 and F2 received by the indenters having two amounts δ1 and δ2 of protrusion with the load cells 75 and 76 when the indenters 71 and 72 are pressed against the sample 77 such that the pressing surface 74 is in contact with the measurement sample 77, and substituting them into the above Equation 3. By simultaneously solving two equations for two unknowns, the coefficient B and the Young's modulus E, the coefficient B and the Young's modulus E can be calculated simultaneously. In the shown configuration in which indenters are arranged side by side, there is the advantage that the distribution of Young's modulus can be determined.
Although
Depending on the meshing position of the ratchet teeth 108 and the ratchet pawl 102, the indenter 1 can be set to different amounts δ1, δ2, and so forth of protrusion. In this case, there is the advantage that the number of load cells 3 is one and the price can be reduced.
Instead of simultaneously solving equations using a plurality of amounts 6 of protrusion and indentation force F, the relationship between the thickness of the sample 2 and the coefficient B may be formulated and stored in the memory of the display unit 21 so that the user can input the value of the thickness of the sample 2. In this case, instead of the inputting by the user, a sensor for measuring the thickness may be provided in the indentation testing device 30 or the like so that the value of the thickness measured by the sensor is input.
A method and a device for measuring the Young's modulus E by determining the reaction force in the pressing direction generated when the indenter of the device is pushed into the sample has been described. In this device, since the indenter is fixed to the enclosure via the load cell, it is possible to maintain a stable posture in both the vertical and horizontal directions. Therefore, in addition to the reaction force in the pressing direction (that is, the pressing force) generated when the indenter is pushed in, the force generated when the contact surface is moved while the indenter of the device is pushed into the sample (that is, the apparent frictional force) can also be measured with the load cell.
By the measurement shown in
Although a load cell having a biaxial sensitivity is shown as an example, a load cell having a triaxial sensitivity may be used. When the triaxial sensitivity load cell is used, there is the advantage that the apparent static friction coefficient μs and the apparent dynamic friction coefficient μd can be determined regardless of the direction of the contact surface between the device and the sample. When a sensor for measuring the amount of move is used together, there is the advantage that the distribution of these friction coefficients can be determined in addition to the distribution of Young's modulus.
As the sample to be tested by using the indentation testing method and the indentation testing device, polymeric materials including polyurethane, silicone rubber, polyolefin rubber, natural rubber, and soft vinyl, biological tissues including skin and muscle, foods including jelly and gelatin, and the like can be used.
The Young's modulus E of the sample is preferably in the range of 100 Pa to 100 MPa. When the Young's modulus E of the sample is 100 Pa or less, the sample may collapse or break as indentation proceeds. When the Young's modulus E of the sample is 100 Pa or more, there is the advantage that the sample does not collapse or break as indentation proceeds. When the Young's modulus E of the sample is 100 MPa or less, there is the advantage that a soft indenter material can be used and there are many choices of indenter materials.
The spherical indenter can be made of, for example, a metal and/or a resin material. The spherical indenter may be interchangeable. When the sample 2 is very soft, a soft spherical indenter may be used.
The diameter of the spherical indenter is preferably in the range of 1×108 to 1 m. When the thickness of the sample is greater than the diameter of the spherical indenter, there is the advantage that a highly accurate result can be obtained.
Pushing of the spherical indenter can be performed manually or automatically. When the pushing of the spherical indenter is manual, there is the advantage that a measuring machine can be developed at low cost. When the pushing of the spherical indenter is controlled automatically, there is the advantage that the measurement accuracy is stabilized.
The result of the indentation test of the spherical indenter can be digitally displayed by the digital processing function. When the result of the indentation test of the spherical indenter is digitally displayed, there is the advantage that the numerical data of the result can be easily read. When the device has a function capable of digitally processing the result of the indentation test of the spherical indenter, there is the advantage that the measurement result can be easily processed by a computer.
The pushing speed of the spherical indenter is preferably in the range of 0.00001 to 10 m/s. When the pushing speed of the spherical indenter is 0.00001 m/s or more, there is the advantage that the measurement does not take time. When the pushing speed of the spherical indenter is 10 m/s or less, there is the advantage that the device can be operated safely.
The ratio of the amount of indentation of the spherical indenter to the diameter of the spherical indenter is preferably 1 or less. When the ratio is 1 or less, there is the advantage that it is unnecessary to consider a case where the indenter is buried.
As a method for reducing adhesion at the contact surface between the spherical indenter and the sample, a method in which talc powder is applied to the sample contact surface, a method in which oil is applied, and the like can be used. When the adhesion at the contact surface between the spherical indenter and the sample is small, these processes can be omitted.
Although a spherical indenter has been described as a shape of an indenter, the shape of the indenter is not limited thereto. The shape of the indenter may be, for example, a solid cylinder, a hollow cylinder, or a cube.
Since this is fixed to the indenter, a combination of an optical system sensor and a temperature sensor may be used. When an optical system sensor is used, there is the advantage that surface properties of the sample such as surface roughness can also be measured. An example of an optical system sensor is an image sensor such as CMOS. When a temperature sensor is used, there is the advantage that the thermal characteristics of the sample can also be measured. Alternatively, an optical system sensor and a temperature sensor may be provided separately from the indenter.
In the above-described indentation testing method and indentation testing device, the thickness of the sample is identified. The advantage of identifying the thickness of the sample is that the condition of skin, muscle, or the like can be measured while satisfying the non-invasiveness required in human diagnosis.
In either embodiment, a contact sensor may be disposed on the pressing surface 5. In this case, on the basis of the output of the contact sensor, the user may be informed that the pressing surface 5 has come into contact with the sample 2, or the amount δ of indentation when the Young's modulus display unit 21 calculates the Young's modulus E may be determined.
It is needless to say that the present disclosure is not limited to the above-described embodiments, and various other configurations can be adopted without departing from the gist of the present disclosure.
1 indenter
2 sample
3 load cell
4 enclosure
5 pressing surface
10 indentation unit
20 indentation testing device
21 Young's modulus display unit
22 Poisson ratio display unit
30 indentation testing device
31 signal line
40 indentation testing device
50 indentation testing device
51 PC
62 sample
71, 72 indenter
73 enclosure
74 pressing surface
75, 76 load cell
77 measurement sample
80 indentation unit
83 biaxial sensitivity load cell
90 indentation unit
91 indenter
92 sample
Number | Date | Country | Kind |
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2016-094937 | May 2016 | JP | national |
This application is a continuation application of International PCT Application PCT/JP2017/017609 which was filed on May 9, 2017, which claims priority to Japanese Patent Application No. 2016-094937 which was filed on May 10, 2016, the entire contents of which are incorporated herein by reference.
Number | Date | Country | |
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Parent | PCT/JP2017/017609 | May 2017 | US |
Child | 16176513 | US |