Magnetoelectric (ME) and anelastic properties of two-layer ceramic composites based on Mn0.4Zn0.6Fe2O4 magnetostrictor and PbZr0.53Ti0.47O3 piezoelectric at DC magnetic field strengths of 0-220 Oe, temperatures of 293-393 K, and volume fractions of PbZr0.53Ti0.47O3 of 0.40-0.67 were studied. It was found that a converse ME coupling coefficient alpha(31) increases with the DC magnetic field strength H-1, passes through a maximum with the volume fraction nu, and decreases as temperature T rises. Dependences of alpha(31) on H-1, nu, and T are explained using a model of effective parameters of a heterogeneous medium. The inverse correlation is revealed between alpha(31) and an internal friction at resonant frequencies. Dependences of the internal friction on H-1, nu, and T are associated with the interaction of ferroelectric domain boundaries with crystal-lattice defects. (C) 2021 Elsevier B.V. All rights reserved.