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A mesoscopic model of amorphous plasticity is discussed in the context ofdepinning models. After embedding in a d + 1 dimensional space, where theaccumulated plastic strain lives along the additional dimension, the gradualplastic deformation of amorphous media can be regarded as the motion of anelastic manifold in a disordered landscape. While the associated depinningtransition leads to scaling properties, the quadrupolar Eshelby interactions atplay in amorphous plasticity induce specific additional features likeshear-banding and weak ergodicity breakdown. The latters are shown to becontrolled by the existence of soft modes of the elastic interaction, theconsequence of which is discussed in the context of depinning.

From depinning transition to plastic yielding of amorphous media: A soft modes perspective