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THE INTERIOR OF THE EARTH  37



                    (a)  1  2  3  4  5  6  7  8              (b)  1  2  3  4  5  6  7  8


                                                A    Glide    A
                                                B    plane    B




                    (c)  Slipped   Unslipped                 (d)  Slipped    Unslipped

                         1  2  3  4  5  6  7  8                   1  2  3  4  5  6  7  8


                                                A    Glide   A
                                                B    plane   B


                       1  2  3   4  5  6   7  8                1  2   3  4  5   6  7  8


                    (e)       Slipped    Unslipped           (f)          Slipped
                          1  2   3  4  5 6  7  8                   1  2  3  4   5  6  7   8



                                                A    Glide   A
                                                B    plane   B



                       1  2  3   4  5  6   7  8                1   2  3  4  5   6  7  8
            Figure 2.23  Plastic flow by the migration of a linear edge dislocation through a crystal (from Structural Geology by

            Robert J. Twiss and Eldridge M. Moores. © 1992 by W.H. Freeman and Company. Used with permission).


            to deformation in the lower mantle, although this   lithosphere and its constituent layers can be estimated
            interpretation is controversial.             by integrating yield stress with respect to depth. This
                                                         integrated strength is highly sensitive to the geother-
                                                         mal gradient as well as to the composition and thick-
            2.10.4 Lithospheric                          ness of each layer, and to the presence or absence of
                                                         fl uids.
            strength profiles                                The results of deformation experiments and evi-

                                                         dence of compositional variations with depth (Section
            In most quantitative treatments of deformation at   2.4) have led investigators to propose that the litho-
            large scales, the lithosphere is assumed to consist of   sphere is characterized by a “jelly sandwich” type rheo-
            multiple layers characterized by different rheologies   logical layering (Ranalli & Murphy, 1987), where strong
            (e.g. Section 7.6.6). The rheologic behavior of each   layers separate one or more weak layers. For example,
            layer depends on the level of the differential stress (Δσ)   Brace & Kohlstedt (1980) investigated the limits of
            and the lesser of the calculated brittle and ductile yield   lithospheric strength based on measurements on quartz
            stresses (Section 2.10.1). The overall strength of the   and olivine, which are primary constituents of the
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