Relationship between density and stiffness of apple flesh

The parenchyma of a number of varieties of apple was tested in torsion. It is necessary to use small samples (cylinders 10 mm long × 5 mm diameter) orientated to take account of the radial air spaces. Over a range of nine varieties of apple, the torsional stiffness (0.5 to 7 MPa) is largely dependent on the average density (0.6 to 0.9 g cc−1) both within and between varieties. At a given density, the outer parenchyma is stiffer than the inner. As the apple matures, density and stiffness reduce and their mutual dependence is also less. A model is presented which can convert density (or volume fraction) of packed cells into the degree of mutual cellular contact. The calculated degree of contact (never greater than 0.4 of the wall area of a cell) correlates well with stiffness, though the nature of the correlation varies with the variety of apple and its maturity. The anisotropy and density/stiffness relationship must be considered in any mechanical (and presumably, therefore, organoleptic) testing of apples.

[1]  E. B. Matzke VOLUME‐SHAPE RELATIONSHIPS IN LEAD SHOT AND THEIR BEARING ON CELL SHAPES , 1939 .

[2]  J. W. Marvin THE SHAPE OF COMPRESSED LEAD SHOT AND ITS RELATION TO CELL SHAPE , 1939 .

[3]  J. W. Marvin CELL SHAPE AND CELL VOLUME RELATIONS IN THE PITH OF EUPATORIUM PERFOLIATUM L. , 1944 .

[4]  R. Reeve HISTOLOGICAL INVESTIGATIONS OF TEXTURE IN APPLES..: II. STRUCTURE AND INTERCELLULAR SPACES , 1953 .

[5]  C. H. Hertz,et al.  On the Relation between Turgor Pressure and Tissue Rigidity. II. Theoretical Calculations on Model Systems , 1958 .

[6]  D. Letham Influence of fertilizer treatment on apple fruit composition and physiology. 1. Influence on cell size and cell number. , 1961 .

[7]  B. Wilkenson Some Effects of Storage Under Different Conditions of Humidity on the Physical Properties of Apples , 1965 .

[8]  D. D. Hamann,et al.  Poisson's Ratio and Young's Modulus for Apple Flesh Under Compressive Loading , 1968 .

[9]  M. Aronson,et al.  Highly concentrated emulsions. II. Real systems. The effect of film thickness and contact angle on the volume fraction in creamed emulsions , 1980 .

[10]  R. J. Petrell,et al.  DYNAMIC MECHANICAL PROPERTIES OF THE APPLE CORTEX IN RELATION TO SAMPLE LOCATION AND RIPENING , 1980 .

[11]  R. E. Pitt,et al.  Models for the Rheology and Statistical Strength of Uniformly Stressed Vegetative Tissue , 1982 .

[12]  R. E. Pitt,et al.  Time-Dependent Aspects of the Strength and Rheology of Vegetative Tissue , 1983 .

[13]  R. E. Pitt,et al.  Cell wall elastic constitutive laws and stress-strain behavior of plant vegetative tissue. , 1986, Biorheology.

[14]  R. E. Pitt,et al.  RHEOLOGY OF APPLE AND POTATO TISSUE AS AFFECTED BY CELL TURGOR PRESSURE , 1986 .

[15]  Nuri N. Mohsenin,et al.  RHEOLOGICAL CHARACTERIZATION OF APPLE CORTEX , 1987 .