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一材料引证文献[1]中谈到:一个刚性球体,在弹性球体件上作对中压入时,其压入深度按赫芝(Hertz)公式可写为: h=CP~(2/3)(1/D_x+1/D)~((4-3)/3) (1)式中h——压深;P——载荷;C——只与材料有关的常数;D——试件直径;D_x——球压头直径。当D→∞时,式(1)变为: h=CP~(2/3)D_x~(-(4-3)/3) (2) 此即刚性球体在弹性半空面上的压深。梅叶尔(Meyer)1908年从大量试验中总结出如下定律(即著名的梅叶尔定律): P=Ad~n/D_x~(n-2)式中d——压痕直径;A——只与材料有关的常数;n——材料的梅叶尔指数(通常在2.0～2.3之间)。文献[1]作者根据几何关系求得:
A material quoted [1] mentioned: a rigid ball, when pressed on elastic spherical body parts, the depth of indentation according to Hertz formula can be written as: h = CP ~ (2/3) (1 / D_x + 1 / D) ~ ((4-3) / 3) (1) Where h-- pressure; P-- load; C-- only material-related constants; D-- specimen Diameter; D_x-- ball indenter diameter. When D → ∞, the formula (1) becomes: h = CP ~ (2/3) D_x ~ (- (4-3) / 3) (2) The pressure of the rigid sphere on the elastic half-space. Meyer 1908 years from a large number of experiments summed up the following law (that is, the well-known Mayer law): P = Ad ~ n / D_x ~ (n-2) where d - indentation diameter; A- - constants related only to the material; n - the Meyer’s Index of the material (usually between 2.0 and 2.3). Literature [1] The author found from the geometric relationship: